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Abstracts for Seminar on Representation Theory

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A new proof of the Kazhda-Lusztig conjecture I

Posted in
Speaker: 
Geordie Williamson
Affiliation: 
MPI
Date: 
Mon, 24/09/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

A new proof of the Kazhda-Lusztig conjecture II

Posted in
Speaker: 
Geordie Williamson
Affiliation: 
MPI
Date: 
Mon, 08/10/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

Stabilization patterns in representation theory

Posted in
Speaker: 
Andrew Snowden
Affiliation: 
MIT
Date: 
Mon, 15/10/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

Equivariant commutative algebra

Posted in
Speaker: 
Andrew Snowden
Affiliation: 
MIT
Date: 
Mon, 29/10/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

Generalized Khovanov (arc) algebra and applications in type D

Posted in
Speaker: 
Michael Ehrig
Affiliation: 
Mathematisches Institut, Uni. Bonn
Date: 
Mon, 05/11/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

Localization of the Zuckerman functor and applications, I

Posted in
Speaker: 
Sarah Kitchen
Affiliation: 
U Freiburg
Date: 
Mon, 12/11/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

Localization in representation theory refers to categorical
equivalences between categories of representations and geometric
categories, such as D-modules on flag varieties.  In these talks, we
will focus specifically on the localization of the Zuckerman functor.
The first talk will explain the localization of the Zuckerman functor
in the context of Harish-Chandra modules, and specifically the
application to localizing degenerate principal series on partial flag
varieties.  The second talk will discuss localization of generalized

Localization of the Zuckerman functor and applications, II

Posted in
Speaker: 
Sarah Kitchen
Affiliation: 
U Freiburg
Date: 
Mon, 19/11/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

Two-sided ideals of enveloping algebras of $sl_\infty$, $so_\infty$, $sp_\infty$

Posted in
Speaker: 
Alexey Petukhov
Affiliation: 
MPI
Date: 
Mon, 26/11/2012 - 14:45 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar on Representation Theory

Fix $n$. Let $U(sl_n)$ be the universal enveloping algebra of a Lie algebra $sl_n$. We say that an ideal $I$ of $U(sl_n)$ is integrable if it is an intersection of ideals of finite codimension in $U(sl_n)$. Such ideals allows (yet unknown, at least to me!) classification based on the representation theory of finite-dimensional modules of $sl_n$. First result which I will discuss is that, for big enough $N$, a radical of intersection of $I$ with $U(sl_n)$ is integrable for any two-sided ideal $I$ of $U(sl_N)$.

 

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