Dept Banner
Dept Banner

Calendar

Download as iCal file

Graduate Algebra and Representation Theory Seminar

Genus Two analogue of A_1 spherical DAHA

Semeon Artamonov, Rutgers University

Location:  Hill 525
Date & time: Monday, 09 October 2017 at 12:00PM - 1:00PM

Abstract: I will start by reviewing on how A_{n-1} spherical DAHA arise in the quantization of 
the moduli space of SU(N) flat connections on a torus. I will then define the corresponding 
notion for the case of SU(2) flat connections on a genus two surface. In particular, I will 
define a family of Laurent polynomials which form a basis of common eigenfunctions of certain 
commuting q-difference operators. This family contains A_1 Macdonald polynomials as a subclass. 

I will then define a genus two analogue of A_1 spherical DAHA and show that the Mapping Class 
Group of a genus two surface acts by outer automorphisms of this algebra.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530