Informal Mathematical Physics Seminar
organized by Igor
Krichever and Andrei
Okounkov
Mondays, 5:30, Room 507
To sign up for dinner
click
here
Schedule of talks for Spring 2017:
A note to the speakers: this is an
informal
seminar, meaning that the talks are longer than usual (1:30)
and are expected to include a good introduction to the subject as well
as a maximally accessible (i.e. minimally general & minimally
technical) discussion of the main result. The bulk of the audience is
typically formed by beginning graduate students. Blackboard talks are
are particularly encouraged.
Abstracts
February 6
The Chern-Schwartz-MacPherson (CSM) class theory is a Chern class
theory for singular varieties, whose existence is established by
MacPherson. Motivated by another construction of Ginzburg and the
relation between the CSM classes of Schubert varieties and stable
envelopes, we give another formula for the CSM classes for a general
variety using the characteristic cycle associated to constructible
functions. This is joint work with P. Aluffi, L. Mihalcea and J.
Schuermann.
February 20
In my talk I will consider a quantum integrable system with two generic
complex parameters q,t whose classical phase space is the moduli space
of flat SU(2) connections on a genus two surface. This system and its
eigenfunctions provide genus two generalizations of the trigonometric
Ruijsenaars-Schneider model and Macdonald polynomials, respectively. I
will show that the Mapping Class Group of a genus two surface acts by
outer automorphisms of the algebra of operators of this system.
Therefore this algebra can be viewed as a genus two generalization of
A_1 spherical DAHA. (This is joint work with Shamil Shakirov)
Seminar arxiv: Fall
2016 Spring
2016 Fall
2015 Spring
2015 Fall
2014 Spring
2014 Fall
2013 Spring
2013 Fall
2012 Spring
2012