Section 7. Lie Theory and Generalizations

Structure, geometry, and representations of Lie groups, algebraic groups, and their various generalizations. Related geometric and algebraic objects, e.g., symmetric spaces, buildings, and other Lie theoretic varieties, vertex operator algebras, quantum groups. Lattices and other discrete subgroups of Lie groups, and their actions on geometric objects. Non-commutative harmonic analysis. Geometric methods in representation theory.
Raphaël Beuzart-Plessis

Aix Marseille Université, France

Also in section 3

Raphaël Beuzart-Plessis is Chargé de Recherches at CNRS and Université d’Aix-Marseille. His primary interests lie in the field of automorphic forms and the Langlands program particularly through the use of trace formulas and other tools of harmonic analysis.
Mikael de la Salle

CNRS and École Normale Supérieure, France

Also in section 8

Mikael de la Salle is a CNRS researcher, a member of the Unité de Mathématiques Pures et Appliquées of École Normale Supérieure de Lyon. He has previously worked at the Laboratoire de Mathématiques de Besançon, at the École Normale Supérieure and the Institut de Mathématiques de Jussieu in Paris. His interests include some aspects of functional analysis, geometric group theory, and their interactions.
Evgeny Feigin

HSE University and Skoltech, Russia

Evgeny Feigin is a Professor of Mathematics at the Department of Mathematics of HSE University, Moscow and at the Center for Advanced Studies of Skoltech, Moscow. His professional interests include representation theory, algebraic geometry, mathematical physics, and combinatorics. He is known for the discovery of the PBW degenerate flag varieties and the FFLV polytopes, as well as for his research on Weyl modules and related geometry and combinatorics. Evgeny Feigin is an awardee of the Euler Foundation and a recipient of the Moscow government prize. He also serves as a deputy dean for research at the Department of Mathematics, HSE University.
Tasho Kaletha

University of Michigan, USA

Also in section 3

Tasho Kaletha is a Professor of Mathematics at the Department of Mathematics of the University of Michigan.

His interests include the representation theory of real and p-adic reductive groups, the theory of automorphic representations, and the Langlands functoriality and reciprocity conjectures. In particular, he has been interested in explicit realizations of the local Langlands correspondence and in the finer properties of inner forms of reductive groups. Before joining the University of Michigan, he studied at the Universities of Bonn and Chicago and held post-doctoral positions at Princeton University and Harvard University.

Joel Kamnitzer

University of Toronto, Canada

Joel Kamnitzer is a Professor of Mathematics at the University of Toronto.

His research concerns complex reductive groups and their representations, focusing on canonical bases, categorification, and geometric constructions.

His 2005 Ph.D. thesis from UC Berkeley focused on the study of Mirkovic-Vilonen cycles in Affine Grassmannians. He received the 2011 Andre Aisenstadt Prize, a 2012 Sloan Research Fellowship, a 2018 E.W.R. Steacie Memorial Fellowship, a 2018 Poincare Chair, and the 2021 Jeffrey-Williams Prize.

Michael Larsen

University of Indiana, USA

Also in section 2

Michael Larsen is a member of the Department of Mathematics of Indiana University. His interests include Galois representations, finite and algebraic groups, motivic zeta-functions, Hochschild homology, topological quantum computation, and combinatorics. He is a Fellow of the American Mathematics Society and a winner of the E. H. Moore prize of the AMS.
Amir Mohammadi

University of California, San Diego, USA

Also in section, 9

Amir Mohammadi is a Professor of Mathematics at The University of California, San Diego.

His research interests include Lie groups and ergodic theory,in particular, he is interested in the interplay between dynamical systems and other areas of mathematics, such as number theory and geometry. He is a recipient of the Alfred P. Sloan Research Fellowship and the von Neumann Fellowship.

Yiannis Sakellaridis

Johns Hopkins University, USA

Yiannis Sakellaridis is a Professor of Mathematics at Johns Hopkins University, having previously taught at Rutgers University-Newark and the National Technical University of Athens.

His work lies in the areas of number theory, representation theory, and the Langlands program. He is particularly curious about the nature of automorphic L-functions, which he has studied by analyzing their relationship to the geometry of spherical varieties and related Hamiltonian spaces, contributing to the development of the Relative Langlands Program.

Peng Shan

Tsinghua University, China

Peng Shan is a Professor of Mathematics at the Department of Mathematical Sciences and Yau Mathematical Sciences Center at Tsinghua University.

Her research domain is geometric representation theory. In particular, she is interested in solving problems in the representation theory of Lie theoretical objects using geometrical or categorical methods, as well as in analyzing cohomology or K-theory of algebraic varieties using representation theory.

Binyong Sun

Zhejiang University, China

Joint lecture with Chen-Bo Zhu

Binyong Sun received his bachelor’s degree from Zhejiang University in 1999, and a doctorate degree from the Hong Kong University of Science and Technology in 2004.

After a short postdoctoral program at ETH Zurich, he has worked at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. Since 2020, he has been working at IASM, Zhejiang University. Binyong Sun’s research interests include representation theory of Lie groups and the theory of automorphic forms. By proving some long-standing conjectures, he and his collaborators have established several deep and fundamental results for representations of classical groups. He received the Tan Kah Kee Young Scientist Award in 2014, China Outstanding Youth Science and Technology Talent Award in 2016, and the State Natural Science Award (second class) in 2018. In 2019, he was elected a member of the Chinese Academy of Sciences.

Weiqiang Wang

University of Virginia, USA

Weiqiang Wang is a Gordon Whyburn Professor of Mathematics at the University of Virginia. His interests include representation theory for Lie (super) algebras, quantum groups, Hecke algebras, and Hall algebras. In particular, he is known for the formulation and solution of the super Kazhdan-Lusztig conjecture in type BCD (joint with Huanchen Bao).To achieve this and go beyond, Bao and Wang have generalized Lusztig’s construction of canonical bases for quantum groups to i-quantum groups arising from quantum symmetric pairs. In recent years, he has developed a Hall algebra approach to i-quantum groups (joint with Ming Lu). He is a winner of the 2020 Chevalley Prize in Lie theory of American Mathematical Society (shared with Bao).
Lauren Williams

Harvard University, USA

Jointly in sections 11, 13

Lauren Williams is the Robinson Professor of Mathematics at Harvard University and the Seaver Professor at the Radcliffe Institute.

Her research is in algebraic combinatorics. More specifically, she uses algebraic tools (cluster algebras, total positivity, tropical geometry) to study discrete structures in mathematics and physics.

She is a recipient of the AWM-Microsoft Research prize and is an honorary member of the London Mathematical Society.

Chen-Bo Zhu

National University of Singapore, Singapore

Joint lecture with Binyong Sun

Chen-Bo Zhu is a Professor of Mathematics at the National University of Singapore (NUS), having first joined NUS in 1991. He received his BSc from Zhejiang University, China in 1984, and his PhD from Yale University, USA in 1990.

His research interests are in representation theory of Lie groups. Together with his collaborators, he has contributed to the branching problem of smooth representations, the theory of local theta correspondence, and the understanding of a fundamental class of unitary representations known as special unipotent representations.

He has actively participated in scientific and regional cooperation events in Asia, including China, Japan, Korea, India, Vietnam, Malaysia, Indonesia and Thailand. He is a fellow of the Singapore National Academy of Science.

Xinwen Zhu

California Institute of Technology, USA

Also in section 3

Xinwen Zhu is a professor at Caltech. His research interests lie in representation theory and arithmetic algebraic geometry. In particular, he is working at the interface of geometric and arithmetic Langlands program, by applying techniques from the geometric theory to arithmetic theory. He has been awarded an AMS centennial fellowship (2013), a Sloan fellowship (2015), an ICCM Gold Medal (2019), and a New Horizons Prize (2020).
Thu Sep 16 2021 18:06:22 GMT+0300 (Moscow Standard Time)