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 Events
Max Planck Institute Bonn
Tue 24 Jan 2017, 3:00pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 126
Chiral differential operators and the curved beta-gamma system
MATH 126
Tue 24 Jan 2017, 3:00pm-4:00pm

Abstract

Chiral differential operators (CDOs) are a vertex algebra analog of the associative algebra of differential operators. Originally introduced by mathematicians, Witten explained how CDOs arise as the perturbative part of the curved beta-gamma system with target X. I will describe recent work with Gorbounov and Williams in which we construct the BV quantization of this theory and use a combination of factorization algebras and formal geometry to recover CDOs. At the end, I hope to discuss how the techniques we developed apply to a broad class of nonlinear sigma models, including source manifolds of higher dimension.
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Harold Williams
University of Texas at Austin
Thu 26 Jan 2017, 3:00pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
TBD
TBA
TBD
Thu 26 Jan 2017, 3:00pm-4:00pm

Abstract


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Martin Fraas
Institute for Theoretical Physics, KU Leuven
Tue 31 Jan 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
On Products of Correlated Matrices Originating in the Statistical Structure of Quantum Mechanics
ESB 2012
Tue 31 Jan 2017, 3:30pm-4:30pm

Abstract

Statistics of measurement outcomes in quantum mechanics is described by a map that associates a matrix to each possible measurement outcome. The probability of this outcome is then given by a trace of this matrix. Probability of a sequence of measurement outcomes is computed in the same way from a product of associated matrices. In this talk I will describe two results related to this setting. A theorem giving optimal conditions for uniqueness of the associated invariant measure on the projective sphere, and a theorem describing large deviation theory in the case when the matrices commute. The latter problem received lots of recent attention following experiments of S.~Haroche.
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University of Munich
Thu 2 Feb 2017, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 102 (note special day/room)
The adiabatic theorem for quantum spin systems
MATH 102 (note special day/room)
Thu 2 Feb 2017, 3:30pm-4:30pm

Abstract

I will present an adiabatic theorem for the driven dynamics of ground state projections of a smooth family of many-body gapped quantum systems. The diabatic error is uniformly bounded in the volume of the interacting system. As an corollary, Kubo’s formula of linear response theory can be obtained in the thermodynamic limit.
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I-Kun Chen
Kyoto University
Tue 14 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 14 Feb 2017, 3:30pm-4:30am

Abstract


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U.C. Santa Barbara
Tue 21 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 21 Feb 2017, 3:30pm-4:30pm

Abstract

 
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