Geometric Representation Thery Seminar

Organizers: Rui Xiong and Pengcheng Li.

The seminar participants are mainly young researchers from China working on geometric representation theory. Usually, the series of our seminar is mainly topic seminars mixed with several research talks.

Topic Seminar (2024 Spring)

Our main theme is affine flag varieties.

Date Speaker Title
Mar 19Pengcheng Li Different aspects of Weil representations
Mar 12Rui Xiong Coulomb Branches Algebras
Mar 05
Feb 26Quan Situ Finite \(W\)-algebras and their category \(O\)
Feb 19
Feb 12Xinyue Tu Quantum cohomology of conical symplectic resolutsions
Jan 08Rui Xiong Abstract Fock spaces
Jan 01 Semi-infinite Flag varieties
Dec 25 Projected Richardson varieties

Research Talks (2024 Fall)

Date Speaker Title
Dec 11Zhihang Yu Lusztig varieties
Nov 20Rui Xiong Affine Springer fibers
Nov 13Rui Xiong (Co)homology of affine Grassmannians
Nov 06
Oct 30
Oct 24 Pengcheng Li Relative Langlands Duality Phenomenon over Finite Fields
Oct 16 Rui Xiong Diagonal coinvariant
Oct 09 Parabolic KL basis over Grassmannians
Sep 25 Geometry of Chromatic Symmetric Functions [notes]
Sep 18 Yaolong Shen Quantum supersymmetric pairs
Sep 11Rui Xiong Puzzles and representation theory

References

Research Talks (2024 Spring)

Date Speaker Title
Apr 17Rui Xiong Motivic Lefschetz theorem for twisted Milnor hypersurfaces
Apr 16 Elliptic curves and elliptic cohomology
Mar 20 Hodge diamonds of smooth hyperplane sections
Mar 13 Cohomology of quiver Grassmannians
Jan 31Quan Situ (affine) braid group action on \(\mathfrak{g}\)-modules
Jan 25
Jan 17
Dec 20Rui Xiong Introduction to stable envelopes
Jan 04
Jan 10

Topic Seminar (2023 Fall)

Our main theme is Cherednik algebras and Macdonald polynomials.

Date Speaker Title
Dec 06Pengcheng Li Introduction to rational Cherednik algebras
Nov 29Rui Xiong Haiman Theory
Oct 11Zhihang Yu Generalized Springer theory for graded Lie algebras
Nov 23Rui Xiong Introduction to Macdonald polynomials [notes]
Oct 25
Oct 18
Oct 11
Sep 27Pengcheng Li Introduction to rational Cherednik algebras
Sep 20
Sep 13

Our main theme is Cherednik algebras and Macdonald polynomials.

References


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