Representations of Simple Affine Vertex Algebras and Affine Springer Fibres

Mon Apr 7, 2025 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Geometry, Symmetry and Physics

Event time: 
Monday, April 7, 2025 - 4:30pm

Location: 
KT 801

Speaker: 
Wenbin Yan

Speaker affiliation: 
YMSC/Tsinghua University

Event description: 
I will explain some results and conjectures relating the representation theory of simple affine vertex algebras to the geometry of homogeneous elliptic affine Springer fibres associated with the Langlands dual affine Lie algebra. I will also explain generalizations of this relation to chiral algebras associated with an n-punctured Riemann surface of genus g, constructed by T. Arakawa, and the geometry of the Hitchin moduli space on the same Riemann surface. 

Research Area(s): 
Representation Theory