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Talks in Mathematical Physics

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String theory seminar

Spring Semester 2012

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SS 12 AS 11

Organiser(s)

Date Speaker Title Time Location
23-feb-2012 (thu)
Xiaojun Chen
Cyclic homology of Calabi-Yau categories and its applications to geometry and topology 15:15-16:15 HG G 43
Abstract: A Calabi-Yau category is an A_infinity category with a cyclically invariant inner product on the Hom-space. According to Kontsevich and Costello, an open topological conformal field theory (TCFT) is homotopy equivalent to a Calabi-Yau category, and its Hochschild cohomology is a closed TCFT. In this talk, we consider the cyclic cohomology of a Calabi-Yau category, which may be viewed an equivariant closed TCFT, and naturally endows an involutive Lie bialgebra structure. We will discuss examples of such Lie bialgebra in Fukaya category and in noncommutative symplectic/Poisson geometry. If time permits, we will discuss the role of cyclic operator in B-model.
Speakers:

Dr. Xiaojun Chen (Max Planck Institute for Mathematics, Bonn)
Invited by: Damien Calaque

24-feb-2012 (fri)
Niklas Beisert
Martin Fraas
Rahul Pandharipande
Paolo Rossi
Winter meeting in mathematical physics 14:00-18:00 HIT E 41.1
URL: http://www.math.ethz.ch/u/felder/Research/WinterMeeting2012
Abstract: 14.00-14.45 Niklas Beisert, A quantum affine algebra for the deformed Hubbard chain
15.00-15.45 Martin Fraas, Geometry of quantum transport for gapped open systems
--Tea--

16.15-17.00 Rahul Pandharipande, Descendent integrals for stable maps and sheaves
17.15-18.00 Paolo Rossi, Higher structures from Symplectic Field Theory
Speakers:

Prof. Dr. Niklas Beisert (ETH Zürich, Switzerland)

Dr. Martin Fraas (ETH Zürich, Switzerland)

Prof. Dr. Rahul Pandharipande (ETH Zürich, Switzerland)

E-Mail:

Dr. Paolo Rossi (Universität Zürich, Switzerland)

1-mar-2012 (thu)
Bertrand Toën
Shifted symplectic structures 15:15-16:15 HG G 43
Abstract: This is a report on a joint work (in progress) with Pantev, Vaquie and Vezzosi. After some reminders on derived algebraic geometry, I will present the notion of shifted symplectic structures, as well as several basic examples. I will state existence results: mapping spaces towards a symplectic targets, classifying spaces of reductive groups, Lagrangian intersections, and use them to construct many examples of (derived) moduli spaces endowed with shifted symplectic forms. In a second part, I will explain what "Quantization" means in the shifted context. The general theory will be illustrated by the particular examples of moduli of sheaves on oriented manifolds, in dimension 2, 3 and higher.
Speakers:

Dr. Bertrand Toën (Université de Montpellier 2, France)
Invited by: Damien Calaque

8-mar-2012 (thu)
Domenico Fiorenza
A stacky point of view on classical Chern-Simons theory 15:15-16:15 HG G 43
Abstract: Simplicial integration of Lie and L-infinity algebras provides a natural refinement of classical Chern-Simons theory to a morphism of (higher) stacks. In particular, Brylinski-McLaughlin formulas for differential characteristic classes are naturally recovered within this framework. Joint work with Urs Schreiber and Jim Stasheff.
Attachments: speaker's notes 1 [JPEG] speaker's notes 2 [JPEG] speaker's notes 3 [JPEG] speaker's notes 4 [JPEG] speaker's notes 5 [JPEG] speaker's notes 6 [JPEG] speaker's notes 7 [JPEG]
Speakers:

Dr. Domenico Fiorenza (Università degli Studi di Roma "La Sapienza")
Invited by: Damien Calaque

22-mar-2012 (thu)
Michael Reiterer
Choptuik's critical spacetime exists 15:15-16:15 HG G 43
Abstract: About twenty years ago, Choptuik studied numerically the gravitational collapse (Einstein field equations) of a massless scalar field in spherical symmetry, and found strong evidence for a universal, self-similar solution at the threshold of black hole formation. We give a rigorous, computer assisted proof of the existence of Choptuik's spacetime, and show that it is real analytic. This is joint work with E. Trubowitz.
Speakers:

Michael Reiterer (ETH)

10-may-2012 (thu)
Vladimir Turaev
Generalized Dehn twists on surfaces 15:15-16:15 HG G 43
Abstract: Dehn twists are automorphisms of surfaces associated with simple loops on surfaces. Kawazumi and Kuno observed that an algebraic version of these automorphisms can be defined for arbitrary (not necessarily simple) loops on surfaces. I will discuss a definition of these generalized Dehn twists based on
Fox pairings in group algebras.
Speakers:

Vladimir Turaev (Indiana University)
Invited by: Giovanni Felder

16-may-2012 (wed)
Samuel Beliard
Manin triples twist and co-ideal algebras 14:00-15:00 HIT E 41.1
Abstract: The algebraic structures that lead to the integrability of quantum integrable models are given by quantum groups (for models on a line or on a circle) and by coideal algebras (for models on a segment or on a half-line).Quantum groups can be constructed from the quantification of Universal enveloping Lie algebras. This procedure, introduced by Drinfel'd in 1985, uses the notion of bialgebras or equivalently of Manin triples. In a recent paper, (arxiv:1202.2312 in collaboration with N. Crampé) we introduced the notion of Manin triples twist and gave a procedure to construct coideal algebras from Universal enveloping Lie sub-algebras. We will review Drinfel'd quantification procedure and present our quantification procedure to obtain coideal algebras. Some applications to quantum integrable models will be discussed.
Speakers:

Samuel Beliard (Montpellier 2)
Invited by: Niklas Beisert

24-may-2012 (thu)
Alexander Veselov
Universality in Lie algebras and Chern-Simons theory 15:15-16:15 HG G 43
Speakers:

Alexander Veselov (Loughbourough University, UK)
Invited by: Giovanni Felder

31-may-2012 (thu)
Alexis Virelizier
Hopf monads 15:15-16:15 HG G 43
Abstract: Hopf monads generalize Hopf algebras to a non-braided setting, that is, to arbitrary monoidal categories. The initial motivation to introduce the notion of Hopf monad was to understand the Drinfeld-Joyal-Street categorical center in Hopf algebraic terms. Such a description is useful for comparing the Turaev-Viro and Reshetikhin-Turaev invariants of 3-manifolds.
Speakers:

Alexis Virelizier (Université de Montpellier)
Invited by: Giovanni Felder

04-08.06.2012
Niklas Beisert
Philippe Di Francesco
David Hernandez
Valerio Toledano Laredo
Vladimir Turaev
Representation theory in mathematics and physics (school/workshop) 15:15-16:15 HG G 43
URL: http://www.fim.math.ethz.ch/conferences/2012/Summer_Workshop_Representation_Theory
Speakers:

Niklas Beisert (ETH)

Philippe Di Francesco (CEA Saclay)

David Hernandez (Université Pierre et Marie Curie)

Valerio Toledano Laredo (Northeastern University)

Vladimir Turaev (Indiana University)

 

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