Type: Seminar

Distribution: World

Expiry: 19 Aug 2011

CalTitle1: Algebra Seminar: Grojnowski

Calendar2: 19 Aug 2011 1435-1525

CalLoc2: Carslaw 175

CalTitle2: Algebra Seminar: Zhang

Auth: athomas(.pmstaff;2039.2002)@p615.pc.maths.usyd.edu.au

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. --------------------------------------------------------------------------- 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. ---------------------------------------------------------------------------- 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. ----------------------------------------------------------------------------