[geometry-ml:03285] MS seminars at Kavli IPMU -- Andrea Appel and Michael Singer -- Mar 27, 2018

[Todor Milanov]

Dear all,

I would like to announce the following two Mathematics and String theory seminars at Kavli IPMU

1) 
Speaker: Andrea Appel (University of Edinburgh)
Date:	Tue, Mar 27, 2018, 13:15 - 14:45
Place:	Seminar Room A
 
Title: Quantum groups and monodromy

Abstract: The monodromy of linear differential equations can be thought of 
as an analytic map generalizing the exponential map of a Lie group. 
Its computation may be rather cumbersome, but, in the case of certain 
very special equations arising in representation theory and mathematical 
physics it is possible to obtain an algebraic and seemingly more explicit 
description in terms of quantum groups. 
In the first part of this talk, I will describe several examples involving both
differential and difference equations, while in the second part I will mainly focus 
on the monodromy of the rational Casimir connection, following joint works 
with V. Toledano Laredo. 

2) 
Speaker: Michael Singer (U College London)
Date:	Tue, Mar 27, 2018, 15:30 - 17:00
Place:	Seminar Room B

Title:	Asymptotic geometry of monopole moduli space and the Sen Conjecture

Abstract: The moduli space of (non-abelian, euclidean, SU(2)) monopoles has been of interest to mathematicians and mathematical physicists since the mid-1980s. It was proved around that time that the natural L^2 metric is hyperKaehler and complete; and its role in low-energy dynamics of monopoles was extensively discussed and analyzed. After the advent of S-duality in supersymmetric gauge theories in the 1990s, Sen made a striking conjecture about the spectrum of supersymmetric quantum states on the monopole moduli spaces. From the mathematical point of view, Sen's conjectures are about the existence of L^2 harmonic forms on monopole moduli spaces and the analysis of this problem requires a good understanding of the monopole metric. I shall describe recent progress on this problem which will at least prove a part of Sen's conjectures. This is joint work with Karsten Fritzsch and Chris Kottke.



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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp