Gunnar Fløystad, S. Murai, C. Riener, Kohji Yanagawa
The study of symmetry as a structural property of algebraic objects is one of the fundamental pillows of the developments of modern mathematics, most prominently beginning with the work of Abel and Galois. The focus of the workshop was on permutation actions of the symmetric group on polynomial rings and algebraic and semi-algebraic sets. More concretely, it was centered around recent developments in the asymptotic setup of symmetric ideals in the polynomial ring in infinitely many variables. Mathematics Subject Classification (2010): 13A99, 13F20, 13P10,20B30. Introduction by the Organizers The MFO-RIMS Tandem Workshop Symmetries on Polynomial Ideals and Varieties organised by Gunnar Fløystad (Bergen), Satoshi Murai (Tokyo), Cordian Riener (Tromsø), and Kohji Yanagawa (Osaka) took place between September 5– 11 2021 as a joint hybrid workshop hosted at the Mathematical Research Institute Oberwolfach and the Research Institute for Mathematical Sciences in Kyoto. Unfortunately, the ongoing Covid-19 pandemic made it impossible to have a physical meeting in Kyoto and the workshop was therefore attended by 14 participants physically at MFO and another 24 participants who joint in virtually. The main focus of the workshop was on the study of properties of ideals in the infinite polynomial ring which are invariant with respect to actions of the 2 Oberwolfach Report 43/2021 symmetric group. As has been observed by various authors, many properties of classical commutative algebra, which fail for the infinite polynomial ring, can be restored when considered in an equivariant setup, up to symmetry. Most notably, it had been already observed by Cohn in the 1980s that although the infinite polynomial ring is not Noetherian symmetric, ideals can always be generated by finitely many orbits of polynomials. In recent years renewed motivation to study such ideals stemmed from the observation that one can view such ideals as limits of sequences of algebraic objects which arise in the area of algebraic statistics and algebraic chemistry. One main goal of the joint workshop between the two research institutes was to bring together different mathematicians working on various aspects of this thematic area and, in particular, build new research connections between Europe and Asia around this topic. The technical facilities in the lecture halls allowed recording of the talks and interactions between remote participants. We would say this worked well, with some minor technical problems. On the Japanese side they had the disadvantage that each participant was in their home or office, so all interaction was digital. Nevertheless, questions after talks, and problem discussions worked well interactively. Also, the time difference between the two groups of participants made it necessary to distinguish between talks, which could followed by all participants live and talks which were recorded because their time slot was falling into very early hours in Europe or very late hours
{"title":"MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties","authors":"Gunnar Fløystad, S. Murai, C. Riener, Kohji Yanagawa","doi":"10.4171/owr/2021/43","DOIUrl":"https://doi.org/10.4171/owr/2021/43","url":null,"abstract":"The study of symmetry as a structural property of algebraic objects is one of the fundamental pillows of the developments of modern mathematics, most prominently beginning with the work of Abel and Galois. The focus of the workshop was on permutation actions of the symmetric group on polynomial rings and algebraic and semi-algebraic sets. More concretely, it was centered around recent developments in the asymptotic setup of symmetric ideals in the polynomial ring in infinitely many variables. Mathematics Subject Classification (2010): 13A99, 13F20, 13P10,20B30. Introduction by the Organizers The MFO-RIMS Tandem Workshop Symmetries on Polynomial Ideals and Varieties organised by Gunnar Fløystad (Bergen), Satoshi Murai (Tokyo), Cordian Riener (Tromsø), and Kohji Yanagawa (Osaka) took place between September 5– 11 2021 as a joint hybrid workshop hosted at the Mathematical Research Institute Oberwolfach and the Research Institute for Mathematical Sciences in Kyoto. Unfortunately, the ongoing Covid-19 pandemic made it impossible to have a physical meeting in Kyoto and the workshop was therefore attended by 14 participants physically at MFO and another 24 participants who joint in virtually. The main focus of the workshop was on the study of properties of ideals in the infinite polynomial ring which are invariant with respect to actions of the 2 Oberwolfach Report 43/2021 symmetric group. As has been observed by various authors, many properties of classical commutative algebra, which fail for the infinite polynomial ring, can be restored when considered in an equivariant setup, up to symmetry. Most notably, it had been already observed by Cohn in the 1980s that although the infinite polynomial ring is not Noetherian symmetric, ideals can always be generated by finitely many orbits of polynomials. In recent years renewed motivation to study such ideals stemmed from the observation that one can view such ideals as limits of sequences of algebraic objects which arise in the area of algebraic statistics and algebraic chemistry. One main goal of the joint workshop between the two research institutes was to bring together different mathematicians working on various aspects of this thematic area and, in particular, build new research connections between Europe and Asia around this topic. The technical facilities in the lecture halls allowed recording of the talks and interactions between remote participants. We would say this worked well, with some minor technical problems. On the Japanese side they had the disadvantage that each participant was in their home or office, so all interaction was digital. Nevertheless, questions after talks, and problem discussions worked well interactively. Also, the time difference between the two groups of participants made it necessary to distinguish between talks, which could followed by all participants live and talks which were recorded because their time slot was falling into very early hours in Europe or very late hours ","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121905520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematics and its Ancient Classics Worldwide: Translations, Appropriations, Reconstructions, Roles","authors":"K. Chemla, Vincenzo De Risi, A. Malet","doi":"10.4171/owr/2021/26","DOIUrl":"https://doi.org/10.4171/owr/2021/26","url":null,"abstract":"","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126134542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis, Geometry and Topology of Singular PDE","authors":"C. Debord, R. Mazzeo, P. Piazza, Boris Vertman","doi":"10.4171/owr/2021/27","DOIUrl":"https://doi.org/10.4171/owr/2021/27","url":null,"abstract":"","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129008927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Bartels, S. C. Brenner, Xiaobing H. Feng, M. Neilan
{"title":"Numerical Methods for Fully Nonlinear and Related PDEs","authors":"S. Bartels, S. C. Brenner, Xiaobing H. Feng, M. Neilan","doi":"10.4171/owr/2021/31","DOIUrl":"https://doi.org/10.4171/owr/2021/31","url":null,"abstract":"","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128578887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. This hybrid mini-workshop discussed recent mathematical methods for analyzing the opportunities and limitations of data-driven and ma-chine-learning approaches to optimal feedback control. The analysis con-cerned all aspects of such approaches, ranging from approximation theory particularly for high-dimensional problems via complexity analysis of algorithms to robustness issues.
{"title":"Mini-Workshop: Analysis of Data-driven Optimal Control","authors":"Lars Grüne, K. Morris","doi":"10.4171/owr/2021/23","DOIUrl":"https://doi.org/10.4171/owr/2021/23","url":null,"abstract":". This hybrid mini-workshop discussed recent mathematical methods for analyzing the opportunities and limitations of data-driven and ma-chine-learning approaches to optimal feedback control. The analysis con-cerned all aspects of such approaches, ranging from approximation theory particularly for high-dimensional problems via complexity analysis of algorithms to robustness issues.","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"188 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133782384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, numerical discretization and numerical simulations to compare with the phenomenon from nature that was modeled in the first place. Both kinetic and fluid models were discussed. Mathematics Subject Classification (2010): 35B40, 35L65, 35Q20, 35R30, 65M06, 76W05, 82C40. Introduction by the Organizers The workshop (held in a hybrid format) titled Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations, organized by Christian Klingenberg (Würzburg, Germany), Qin Li (Madison, Wisc., USA) and Marlies Pirner (Würzburg, Germany) was attended by 18 participants, 9 of which were female. Nonlinear hyperbolic systems of time-dependent partial differential equations are important mathematical models for a large number of complex natural systems of fundamental interest. The governing equations can be derived from first principles. In applications these models are used with great success. In this workshop we spanned the gamut from modeling physical phenomena by hyperbolic partial differential equations, discussing questions of existence, uniqueness and well-posedness, their numerical discretization and related numerical analysis and numerical implementation questions to numerical simulations in order to ascertain how this matches the physical phenomenon at hand. 2 Oberwolfach Report 19/2021 Depending on the time scale and spatial scale in the application at hand, the models may be either microscopic kinetic equations or a macroscopic fluid equations. Both types of models were discussed. Next we list some of those topics. Kinetic models Here we take an atomistic view of the flow. Considering density distributuons of these micrsoscopically interacting particles, we obtain Boltzmann-type equations consisting of a first order transport operator for the density distribution of the particles which are set equal to a zeroth order term describing the interaction between the particles. As reported on by Marlies Pirner, she models gas mixtures in this way, see e.g. [1], and proves that this model satisfies physical properties. The numerical implementation of this new model needs to be found. Seok-Bae Yun and Gi-Chan Bae reported on theoretical aspects of certain kinetic models, which lend itself to efficient numerical simulations, while still modeling the physics appropriately. For a kinetic model of plasma, the Vlasov-Poisson model, enhanced by a BGK relaxation term, aspects of Landau damping were discussed by Lena Baumann. The study of uncertainty quantification for kinetic models was discussed, see here [2]. But uncertainty quantification does not always represent the viewpoint of the experimentalists. Instead they want to determine the uncertain coefficient in a PDE by measuring the solution at the parts of the boundary, given data o
非线性双曲型偏微分方程构成了物理、生物、工程等领域的大量模型。在这个研讨会中，我们涵盖了从建模，适定性的数学问题，数值离散化和数值模拟到与最初建模的自然现象进行比较的范围。讨论了动力学模型和流体模型。数学学科分类(2010):35B40、35L65、35Q20、35R30、65M06、76W05、82C40。该研讨会(以混合形式举行)题为“用双曲偏微分方程模拟自然现象”，由Christian Klingenberg(德国w<s:1>茨堡)、Qin Li(美国威斯康星州麦迪逊)组织。(美国)和Marlies Pirner (w<s:1> rzburg，德国)共有18名与会者，其中9名是女性。时变偏微分方程的非线性双曲型系统是研究大量复杂自然系统的重要数学模型。控制方程可以由第一性原理推导出来。在实际应用中，这些模型的应用取得了巨大的成功。在这个研讨会上，我们跨越了用双曲偏微分方程建模物理现象的范围，讨论了存在性、唯一性和适定性问题，它们的数值离散化以及相关的数值分析和数值实现问题，以确定它如何与手边的物理现象相匹配。根据当前应用的时间尺度和空间尺度，模型可以是微观动力学方程，也可以是宏观流体方程。讨论了这两种模型。接下来我们列出其中的一些话题。在这里，我们从原子的角度来看待流动。考虑这些微观相互作用粒子的密度分布，我们得到了粒子密度分布的由一阶输运算子组成的玻尔兹曼型方程，该方程设为描述粒子间相互作用的零阶项。Marlies Pirner报道，她用这种方法对气体混合物进行建模，见例[1]，并证明该模型满足物理性质。需要找到这个新模型的数值实现。Seok-Bae Yun和Gi-Chan Bae报告了某些动力学模型的理论方面，这些模型有助于有效的数值模拟，同时仍然适当地模拟物理。Lena Baumann讨论了一个等离子体动力学模型，通过BGK松弛项增强的Vlasov-Poisson模型中朗道阻尼的各个方面。讨论了动力学模型不确定度量化的研究，见这里[2]。但不确定度量化并不总是代表实验主义者的观点。相反，他们想通过测量边界部分的解来确定PDE的不确定系数，给出边界其他部分的数据。赖汝玉的讲座介绍并报告了这一课题的新成果。换句话说，实验主义者感兴趣的是解决贝叶斯设置中的逆问题，参见这里[3]的相关问题。我们接着考虑了数学生物学的一个模型，即细胞的运动，由动力学趋化方程描述。相应的宏观Keller-Segel型模型将是一个扩散方程。闵唐对此进行了报道。目的是研究这两种情况下的逆问题。Kathrin Hellmuth报道了这些观点，参见[11]。动力学方程在克努森数趋于零的极限下继续有效的数值方法称为渐近保持方法。此外，我们发现数值方法在相同的情况下保持固定解，见这里[4]，由Farah Kanbar报道。讨论了如何将其推广到混合气体的动力学模型。最后，设计了多物种量子粒子的动力学模型并证明了其存在性，参见此处[5]。讨论了如何将其转化为数值格式。Sandra Warnecke对此进行了报道。可压缩气体动力学的欧拉方程，理论在一个空间维度上，人们对可压缩欧拉方程解的存在性和唯一性有了一个认识。在这种情况下(在适当的假设下)，欧拉方程的一系列近似收敛于欧拉方程的弱解。在更高的空间维度中，人们了解的要少得多，参见这里[6]和这里[7]。西蒙·马克菲尔德(Simon Markfelder)报道了用双曲偏微分方程3思想模拟自然现象的这一循环。弱解在这里很可能不是合适的解概念。目标是确定解决方案的适当概念。edward Feireisl在两次讲座中研究了这个问题。 可压缩多维欧拉方程的解概念也可以通过观察数值近似的极限来研究。Eva Horlebein对此进行了报道。可压缩气体动力学的欧拉方程，数值守恒定律的数值学一直被Godunov的思想所主导，其中一个关键因素是不连续数据的传播，黎曼问题。这是一个单空间维度的概念。似乎是时候改变思维模式了。根据Phil Roe的建议，在多个空间维度中，通过在离散点使用(几乎)精确的演化来连续有限元的演化似乎非常有前途，参见这里[8]。这种真正多维方案的研究具有巨大的前景，因为它们自然地满足所有对合约束。Wasilij Barsukov介绍了这方面的进展。对于有重力的欧拉方程，我们寻求在低马赫极限下渐近保持和平稳保持的数值方法，也称为良好平衡，见这里[9]，或这里[10]。Claudius Birke和Philipp Edelmann报道了如何改进结合这两个特征的数值格式的方法。总的来说，这个研讨会在Oberwolfach的美妙氛围中为讨论上述思想圈提供了空间。[1] J. Haack, C. Hauck, C. Klingenberg, M. Pirner, S. Warnecke，含速度依赖碰撞频率的气体混合物一致BGK模型，提交2021，见此处[2]Herzing, T. Klingenberg, C. Pirner, M.:含随机系数的线性化BGK方程的亚矫顽力，提交(2020)，见此处[3]Klingenberg, C.，赖，R.，李强。[4]张晓明，张晓明，张晓明，等。非线性辐射传递方程中辐射系数的重构，应用数学学报，Vol. 81, 1(2021)参见这里[4].动力学方程渐近保持格式的一致平稳保持准则，提交(2021)参见这里。[6] E. Feireisl, E.， Klingenberg, C.， Kreml, O.， Markfelder, S.:关于完全欧拉方程的振荡解，微分方程学报，Vol. 296，第2期，pp 1521-1543，(2020)，参见论文]E. Feireisl;c·克林根贝格;S. Markfelder，“关于可压缩欧拉系统的野生初始数据的密度”，微积分的变化(2020)，见这里的论文[8]Wasilij Barsukow;乔纳森·赫姆;克林根贝格基督教;Philip L Roe，笛卡尔网格上的主动通量格式及其低马赫数极限，科学计算杂志，vol. 81, pp. 594-622，(2019)，见论文here [9] Berberich, J.， Käppeli, R.， Chandrashekar, P.， Klingenberg, C.:任意流体静力大气的高阶离散良好平衡方法，计算物理通信(2021)，见论文here 4 Oberwolfach报告19/2021 [10]Edelmann, Horst, Berberich, Andrassy, Higl, Klingenberg, Röpke:[11] Helmuth, K.， Klingenberg, C.， Li, Q.， Tang, M.:贝叶斯环境下趋化性反问题的多尺度收敛，李琴，王莉编辑，《部分数据逆问题》，提交给《计算》(2021)我们感谢MFO对本次研讨会的慷慨支持，除了VCA的资助外，还向本次研讨会的现场参与者提供了OWLG的资助。用双曲偏微分方程建模自然现象5小型协作(混合会议):用双曲偏微分方程建模自然现象
{"title":"Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations","authors":"C. Klingenberg, Qin Li, M. Pirner","doi":"10.4171/owr/2021/19","DOIUrl":"https://doi.org/10.4171/owr/2021/19","url":null,"abstract":"Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, numerical discretization and numerical simulations to compare with the phenomenon from nature that was modeled in the first place. Both kinetic and fluid models were discussed. Mathematics Subject Classification (2010): 35B40, 35L65, 35Q20, 35R30, 65M06, 76W05, 82C40. Introduction by the Organizers The workshop (held in a hybrid format) titled Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations, organized by Christian Klingenberg (Würzburg, Germany), Qin Li (Madison, Wisc., USA) and Marlies Pirner (Würzburg, Germany) was attended by 18 participants, 9 of which were female. Nonlinear hyperbolic systems of time-dependent partial differential equations are important mathematical models for a large number of complex natural systems of fundamental interest. The governing equations can be derived from first principles. In applications these models are used with great success. In this workshop we spanned the gamut from modeling physical phenomena by hyperbolic partial differential equations, discussing questions of existence, uniqueness and well-posedness, their numerical discretization and related numerical analysis and numerical implementation questions to numerical simulations in order to ascertain how this matches the physical phenomenon at hand. 2 Oberwolfach Report 19/2021 Depending on the time scale and spatial scale in the application at hand, the models may be either microscopic kinetic equations or a macroscopic fluid equations. Both types of models were discussed. Next we list some of those topics. Kinetic models Here we take an atomistic view of the flow. Considering density distributuons of these micrsoscopically interacting particles, we obtain Boltzmann-type equations consisting of a first order transport operator for the density distribution of the particles which are set equal to a zeroth order term describing the interaction between the particles. As reported on by Marlies Pirner, she models gas mixtures in this way, see e.g. [1], and proves that this model satisfies physical properties. The numerical implementation of this new model needs to be found. Seok-Bae Yun and Gi-Chan Bae reported on theoretical aspects of certain kinetic models, which lend itself to efficient numerical simulations, while still modeling the physics appropriately. For a kinetic model of plasma, the Vlasov-Poisson model, enhanced by a BGK relaxation term, aspects of Landau damping were discussed by Lena Baumann. The study of uncertainty quantification for kinetic models was discussed, see here [2]. But uncertainty quantification does not always represent the viewpoint of the experimentalists. Instead they want to determine the uncertain coefficient in a PDE by measuring the solution at the parts of the boundary, given data o","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116615451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Enumerative Geometry of Surfaces","authors":"G. Borot, S. Grushevsky, Martin Möller","doi":"10.4171/owr/2021/28","DOIUrl":"https://doi.org/10.4171/owr/2021/28","url":null,"abstract":"","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"1999 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131083611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Grundel, V. Mehrmann, J. Scherpen, Felix L. Schwenninger
{"title":"Mini-Workshop: Mathematics of Dissipation – Dynamics, Data and Control","authors":"S. Grundel, V. Mehrmann, J. Scherpen, Felix L. Schwenninger","doi":"10.4171/owr/2021/24","DOIUrl":"https://doi.org/10.4171/owr/2021/24","url":null,"abstract":"","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125193473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this virtual workshop a variety of recent developments in Bayesian high-dimensional and nonparametric statistics were discussed in depth. There were 12 in depth talks delivered via zoom in the afternoons (to allow for US attendance), and several informal evening time meetings on wonder.me, where follow up discussions of the most important mathematical developments took place.
{"title":"Foundations of Bayesian Inference for Complex Statistical Models","authors":"Richard Nickl, J. Rousseau, A. van der Vaart","doi":"10.4171/owr/2021/22","DOIUrl":"https://doi.org/10.4171/owr/2021/22","url":null,"abstract":". In this virtual workshop a variety of recent developments in Bayesian high-dimensional and nonparametric statistics were discussed in depth. There were 12 in depth talks delivered via zoom in the afternoons (to allow for US attendance), and several informal evening time meetings on wonder.me, where follow up discussions of the most important mathematical developments took place.","PeriodicalId":436142,"journal":{"name":"Oberwolfach Reports","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125325383","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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