In computer vision, generalization of neural representations is
usually measured on i.i.d. data. This hides the fact that
representations often struggle to generalize to non-i.i.d data and
fail to overcome the biases inherent in visual datasets. I...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
With an eye toward coordinating with the advanced course, we
will start with the representation theory of the symmetric group
and related combinatorics. We will focus on the functors of
induction and restriction. We will then consider related...
In the first part of this talk, I'll explain a geometric
categorification of the Hecke algebra in terms of perverse sheaves
on the flag variety. In the second part, we'll study the affine
Hecke algebra. In this case, there are two categorical...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
With an eye toward coordinating with the advanced course, we
will start with the representation theory of the symmetric group
and related combinatorics. We will focus on the functors of
induction and restriction. We will then consider related...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
With an eye toward coordinating with the advanced course, we
will start with the representation theory of the symmetric group
and related combinatorics. We will focus on the functors of
induction and restriction. We will then consider related...