Algebra Seminar: Grojnowski, Zhang

There will be two Algebra Seminars on Friday 19 August, the first at the usual time by
Ian Grojnowski and the second at 2.35pm by Hechun Zhang.  Both talks will be in the
usual venue, Carslaw 175.  

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Speaker: Ian Grojnowski (University of Cambridge) 

Date: Friday 19 August 

Time: 12.05-12.55pm 

Venue: Carslaw 175 

Title: 

Almost local differential operators 

Abstract: 

I’ll sketch a construction for understanding representations of completed group algebras
in terms of sheaves on the flag variety, generalising the Beilinson-Bernstein
correspondence.  

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Speaker: Hechun Zhang (Tsinghua University) 

Date: Friday 19 August 

Time: 2.35-3.25pm 

Venue: Carslaw 175 

Title: 

Canonical bases and quantum coordinate rings 

Abstract: 

Filtrations of the tensor product of a highest weight module and lowest weight module
over Uq(g) are constructed and applied to study some two-sided ideals of the modified
quantized enveloping algebra.  The corresponding quotient algebras of the modified
quantized enveloping algebra by these ideals are dual to the quantum coordinate ring
defined by Kashiwara.  They also inherit canonical bases from the modified quantized
enveloping algebra.  This is joint work with Li Bin.
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