SMS scnews item created by Anne Thomas at Fri 27 May 2011 1611
Type: Seminar
Distribution: World
Expiry: 3 Jun 2011
Calendar1: 3 Jun 2011 1205-1255
CalLoc1: Carslaw 175
Auth: athomas(.pmstaff;2039.2002)@p615.pc.maths.usyd.edu.au

# Algebra Seminar: Achar -- Koszul duality and mixed geometry

The Algebra Seminar next Friday 3 June will be given by Pramod Achar.

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Speaker: Pramod Achar (Louisiana State University)

Date: Friday 3 June

Time: 12.05-12.55pm

Venue: Carslaw 175

Title:

Koszul duality and mixed geometry

Abstract:

Since the seminal work of Beilinson-Ginzburg-Soergel in the mid-1990s, the phenomenon of
Koszul duality -- a subtle kind of symmetry between simple modules and projective
modules over a ring -- has played an important role in representation theory.  A key
example comes from the geometry of flag varieties, where one can see Koszul duality by
looking at mixed perverse sheaves or mixed Hodge modules -- well, almost.  I will
explain Koszul duality and mixedness in elementary terms, and I will discuss what goes
wrong with those mixed categories and (following Beilinson-Ginzburg-Soergel) how to fix
them.  I will also discuss more recent developments from joint work with S. Riche and
S. Kitchen.

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