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 betagamma system

MATH 126
Tue 24 Jan 2017, 3:00pm4:00pm
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 betagamma 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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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, 3:00pm4:00pm
Abstract
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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, 3:30pm4:30pm
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, 3:30pm4:30pm
Abstract
I will present an adiabatic theorem for the driven dynamics of ground state projections of a smooth family of manybody 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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Kyoto University

Tue 14 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

TBA

ESB 2012
Tue 14 Feb 2017, 3:30pm4:30am
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, 3:30pm4:30pm
Abstract
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