MIT Infinite Dimensional Algebra Seminar (Fall 2018)

Meeting Time: Friday, 3:00-5:00 p.m. | Location: 2-136

Contact: Pavel Etingof and Victor Kac

Schedule of Talks

Date and Time Speaker
September 14, 3-5 p.m. Zhengwei Liu (Harvard) Quantum Fourier Analysis
We first recall some classical inequalities and uncertainty principles on groups in Fourier analysis. Then we discuss our recent work of Fourier analysis on quantum symmetries, including subfactors, planar algebras, Kac algebras, locally compact quantum groups, modular tensor categories. Moreover, we provide a 2D picture language to study Fourier analysis. Finally, we discuss some applications and open questions.
September 21, 3-5 p.m. Ivan Cherednik (University of North Carolina) Zeta-functions of plane curve singularities, Jacobian factors and DAHA
Link to Abstract
September 28, 3-5 p.m. Alexander Braverman (University of Toronto and Perimeter Institute) Topologically twisted 3-dimensional gauge theories and local Langlands duality.
I will start the talk by presenting a series of rather surprising (mathematical) conjectures involving various equivalences of categories; some of these conjectures provide new understanding of local geometric Langlands duality for the group GL(n) (the formulation of which will be briefly recalled) . In the main body of the talk I would like to explain how one can "invent" these conjectures while studying super-symmetric 3-dimensional quantum field theories (the relevant background will be explained in the talk, no familiarity with quantum field theory will be assumed). If time permits, I will explain some mathematical evidence for these conjectures (mostly in the case of GL(2)).
October 12, 3-5 p.m. Ivan Mirkovic (Umass Amherst) TBA
October 19, 3-5 p.m. Alex Postnikov TBA
October 26, 3-5 p.m. Andrei Negut TBA
November 2, 3-5 p.m. Gloria Mari-Beffa TBA
November 9, 3-5 p.m. Alexander Goncharov TBA
November 16, 3-5 p.m. Current developments at Harvard
November 23, 3-5 p.m. Thanks giving
November 30, 3-5 p.m. Roman Bezrukavnikov (MIT) TBA
December 7, 3-5 p.m. John Duncan TBA

Archived Seminar Webpages

S2008 | F2008 | S2009 | F2009 | S2010 | F2010 | S2011 | F2011 | S2012 | F2012 | S2013 | F2013 | S2014 | F2014 | S2015| F2015| S2016 | F2016 | S2017| F2017| S2018