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Spring Semester 2012

Date / Time Speaker Title Location
23 February 2012
15:15-16:15 		Dr. Xiaojun Chen
Max Planck Institute for Mathematics, Bonn
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Talks in Mathematical Physics

Title Cyclic homology of Calabi-Yau categories and its applications to geometry and topology
Speaker, Affiliation Dr. Xiaojun Chen, Max Planck Institute for Mathematics, Bonn
Date, Time 23 February 2012, 15:15-16:15
Location 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.
Cyclic homology of Calabi-Yau categories and its applications to geometry and topologyread_more
HG G 43
* 24 February 2012
14:00-18:00 		Prof. Dr. Niklas Beisert
ETH Zürich, Switzerland
Dr. Martin Fraas
ETH Zürich, Switzerland
Prof. Dr. Rahul Pandharipande
ETH Zurich, Switzerland
Dr. Paolo Rossi
Universität Zürich, Switzerland
Details

Talks in Mathematical Physics

Title Winter meeting in mathematical physics
Speaker, Affiliation Prof. Dr. Niklas Beisert, ETH Zürich, Switzerland
Dr. Martin Fraas, ETH Zürich, Switzerland
Prof. Dr. Rahul Pandharipande, ETH Zurich, Switzerland
Dr. Paolo Rossi, Universität Zürich, Switzerland
Date, Time 24 February 2012, 14:00-18:00
Location HIT E 41.1
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
Winter meeting in mathematical physicsread_more
HIT E 41.1
1 March 2012
15:15-16:15 		Dr. Bertrand Toën
Université de Montpellier 2, France
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Talks in Mathematical Physics

Title Shifted symplectic structures
Speaker, Affiliation Dr. Bertrand Toën, Université de Montpellier 2, France
Date, Time 1 March 2012, 15:15-16:15
Location 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.
Shifted symplectic structuresread_more
HG G 43
8 March 2012
15:15-16:15 		Dr. Domenico Fiorenza
Università degli Studi di Roma "La Sapienza"
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Talks in Mathematical Physics

Title A stacky point of view on classical Chern-Simons theory
Speaker, Affiliation Dr. Domenico Fiorenza, Università degli Studi di Roma "La Sapienza"
Date, Time 8 March 2012, 15:15-16:15
Location 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.
Documents speaker's notes 1file_download
speaker's notes 2file_download
speaker's notes 3file_download
speaker's notes 4file_download
speaker's notes 5file_download
speaker's notes 6file_download
speaker's notes 7file_download
A stacky point of view on classical Chern-Simons theoryread_more
HG G 43
22 March 2012
15:15-16:15 		Michael Reiterer
ETH
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Talks in Mathematical Physics

Title Choptuik's critical spacetime exists
Speaker, Affiliation Michael Reiterer, ETH
Date, Time 22 March 2012, 15:15-16:15
Location 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.
Choptuik's critical spacetime existsread_more
HG G 43
10 May 2012
15:15-16:15 		Vladimir Turaev
Indiana University
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Talks in Mathematical Physics

Title Generalized Dehn twists on surfaces
Speaker, Affiliation Vladimir Turaev, Indiana University
Date, Time 10 May 2012, 15:15-16:15
Location 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.
Generalized Dehn twists on surfacesread_more
HG G 43
* 16 May 2012
14:00-15:00 		Samuel Belliard
Montpellier 2
Details

Talks in Mathematical Physics

Title Manin triples twist and co-ideal algebras
Speaker, Affiliation Samuel Belliard, Montpellier 2
Date, Time 16 May 2012, 14:00-15:00
Location 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.
Manin triples twist and co-ideal algebras read_more
HIT E 41.1
24 May 2012
15:15-16:15 		Alexander Veselov
Loughbourough University, UK
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Talks in Mathematical Physics

Title Universality in Lie algebras and Chern-Simons theory
Speaker, Affiliation Alexander Veselov, Loughbourough University, UK
Date, Time 24 May 2012, 15:15-16:15
Location HG G 43
Documents beamerfile_download
Universality in Lie algebras and Chern-Simons theoryread_more
HG G 43
31 May 2012
15:15-16:15 		Alexis Virelizier
Université de Montpellier
Details

Talks in Mathematical Physics

Title Hopf monads
Speaker, Affiliation Alexis Virelizier, Université de Montpellier
Date, Time 31 May 2012, 15:15-16:15
Location 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.
Hopf monads read_more
HG G 43
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09:00-17:00 		Niklas Beisert
ETH
Philippe Di Francesco
CEA Saclay
David Hernandez
Université Pierre et Marie Curie
Valerio Toledano Laredo
Northeastern University
Vladimir Turaev
Indiana University
Details

Talks in Mathematical Physics

Title Representation theory in mathematics and physics (school/workshop)
Speaker, Affiliation Niklas Beisert, ETH
Philippe Di Francesco, CEA Saclay
David Hernandez, Université Pierre et Marie Curie
Valerio Toledano Laredo, Northeastern University
Vladimir Turaev, Indiana University
Date, Time NaN undefined NaN, 09:00-17:00
Location HG G 43
Documents Gautam (notes by Andrea Appel)file_download
Hernandez (notes by Sachin Gautam)file_download
Toledano-Laredo (notes by Andrea Appel)file_download
Turaev (notes by Claudia Scheimbauer)file_download
Representation theory in mathematics and physics (school/workshop)read_more
HG G 43
14 June 2012
15:15-16:15 		Dr. Grégory Ginot
Université Pierre et Marie Curie (Paris 6)
Details

Talks in Mathematical Physics

Title Higher String Topology
Speaker, Affiliation Dr. Grégory Ginot, Université Pierre et Marie Curie (Paris 6)
Date, Time 14 June 2012, 15:15-16:15
Location HG G 43
Higher String Topology
HG G 43
26 June 2012
14:15-15:15 		Carlo Rossi
MPI Bonn
Details

Talks in Mathematical Physics

Title The logarithmic star product on Lie algebras
Speaker, Affiliation Carlo Rossi, MPI Bonn
Date, Time 26 June 2012, 14:15-15:15
Location HG G G43
Abstract We establish an explicit equivalence between the two star products on the symmetric algebra S(g) of a finite-dimensional Lie algebra g over a field K containing C associated with the standard angular propagator and the logarithmic one: the differential operator of infinite order with constant coefficients realizing the equivalence is related to the incarnation of the Grothendieck-Teichmueller group considered by Kontsevich.
The logarithmic star product on Lie algebrasread_more
HG G G43
6 July 2012
14:15-15:15 		Pedram Hekmati
University of Adelaide
Details

Talks in Mathematical Physics

Title The caloron transform and geometric invariants
Speaker, Affiliation Pedram Hekmati, University of Adelaide
Date, Time 6 July 2012, 14:15-15:15
Location HG G 46
Abstract The caloron correspondence first appeared in the study of periodic instantons in the late 1980's. The underlying geometric transform however turns out to be of independent interest and admits more sophisticated generalizations. In this talk I will explain how this transform works and how it can be used to develop Chern-Weil theory and differential characters for certain infinite rank bundles.
The caloron transform and geometric invariantsread_more
HG G 46

Notes: events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location.

Organisers: Anna Beliakova, Damien Calaque, Alberto Cattaneo, Giovanni Felder, Matthias Gaberdiel, Gian Michele Graf, Horst Knörrer

Archive: AS 24 SS 24 AS 23 SS 23 AS 22 SS 22 AS 21 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11

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