Workshop on Representation Theory and Geometry

Explore advanced topics in representation theory and geometry through this comprehensive workshop featuring leading mathematicians from around the world. Delve into cutting-edge research presentations covering symplectic resolutions, Langlands functoriality, modular perverse sheaves, and Weyl modules. Examine sophisticated mathematical concepts including Smith theory, de Sitter space, flag manifolds over semifields, and Springer theory connections. Investigate modern developments in algebraic geometry such as isolated symplectic singularities, rationality properties of complex characters, and Hecke actions on principal blocks. Study representation theory applications including p-adic groups, Stokes phenomena, Poisson-Lie groups, and quantum groups. Learn about advanced constructions like Lax 2-tensor methods, double covers of tori, and the local Langlands correspondence. Discover connections between derived Satake equivalence for symmetric varieties, Drinfeld-Sokolov reduction of admissible representations, and K-motives with Koszul duality in geometric representation theory. Gain insights into web theory in type C, tilting module approximations, and the interplay between various mathematical structures through expert presentations by renowned researchers in the field.

Syllabus

Towards canonical bases in homology of symplectic resolutions - Roman Bezrukavnikov
Smith theory and Langlands functoriality - Tony Feng
Some Half-Baked Thoughts about de Sitter Space - Leonard Susskind
Modular perverse sheaves on symplectic singularities - Tom Braden
From Weyl modules to simple modules in many small steps - George Lusztig
Flag manifolds over semifields I - Huanchen Bao
Springer, Procesi and Cherednik - Ivan Loseu
Webs in type C - Benjamin Elias
New isolated symplectic singularities with trivial fundamental group - Daniel Juteau
Rationality properties of complex characters of finite groups - Pham Tiep
A Hecke action on the principal block of a semisimple algebraic group - Simon Riche
Approximating tilting modules - Peter Fiebig
Stokes phenomena, Poisson-Lie groups and quantum groups - Valerio Toledano Laredo
Representations of p-adic groups - Jessica Fintzen
Lax 2-tensor constructions - Raphaël Rouquier
Double covers of tori and the local Langlands correspondence - Tasho Kaletha
Towards derived Satake equivalence for symmetric varieties - Tsao-Hsien Chen
Flag manifolds over semifields II - Xuhua He
The Drinfeld-Sokolov reduction of admissible representations of affine Lie algebras - Gurbir Dhillon
K-Motives and Koszul Duality in Geometric Representation Theory - Jens Eberhardt