Departement Mathematik

Talks in mathematical physics

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Herbstsemester 2016

Datum / Zeit Referent:in Titel Ort
* 29. September 2016
11:15-12:15 		Francis Brown
Oxford
Details

Talks in Mathematical Physics

Titel Grothendieck-Teichmüller theory in genus 1
Referent:in, Affiliation Francis Brown, Oxford
Datum, Zeit 29. September 2016, 11:15-12:15
Ort CLV B 4
Grothendieck-Teichmüller theory in genus 1
CLV B 4
3. November 2016
15:15-16:15 		Boris Pioline
CERN
Details

Talks in Mathematical Physics

Titel Indefinite theta series and generalized error functions
Referent:in, Affiliation Boris Pioline, CERN
Datum, Zeit 3. November 2016, 15:15-16:15
Ort HG G 43
Indefinite theta series and generalized error functions
HG G 43
10. November 2016
15:15-16:15 		Vera Vértesi
Université de Strasbourg
Details

Talks in Mathematical Physics

Titel Combinatorial tangle Floer homology
Referent:in, Affiliation Vera Vértesi, Université de Strasbourg
Datum, Zeit 10. November 2016, 15:15-16:15
Ort HG G 43
Abstract Knot Floer homology is an invariant for knots and links defined by Ozsvath and Szabo and independently by Rasmussen. It has proven to be a powerful invariant e.g. in computing the genus of a knot, or determining whether a knot is fibered. In this talk I define a generalisation of knot Floer homology for tangles; Tangle Floer homology is an invariant of tangles in D3, S2xI or in S3. Tangle Floer homology satisfies a gluing theorem and its version in S3 gives back a stabilisation of knot Floer homology. Finally, I will discuss how to see tangle Floer homology as a categorification of the Reshetikhin-Turaev invariant.
Combinatorial tangle Floer homologyread_more
HG G 43
* 23. November 2016
16:15-17:15 		Prof. Dr. Gabriele Nebe
RWTH Aachen
Details

Talks in Mathematical Physics

Titel Automorphisms of Extremal Lattices
Referent:in, Affiliation Prof. Dr. Gabriele Nebe, RWTH Aachen
Datum, Zeit 23. November 2016, 16:15-17:15
Ort HG G 19.1
Automorphisms of Extremal Lattices
HG G 19.1
1. Dezember 2016
15:15-16:15 		David Hernandez
Université de Paris
Details

Talks in Mathematical Physics

Titel Spectra of quantum KdV Hamiltonians, Langlands duality and category O for quantum affine algebras
Referent:in, Affiliation David Hernandez, Université de Paris
Datum, Zeit 1. Dezember 2016, 15:15-16:15
Ort HG G 43
Spectra of quantum KdV Hamiltonians, Langlands duality and category O for quantum affine algebras
HG G 43
8. Dezember 2016
15:15-16:15 		Igor Khavkine
Università di Roma
Details

Talks in Mathematical Physics

Titel Spectral theory of vector and tensor fields on Schwarzschild spacetime
Referent:in, Affiliation Igor Khavkine, Università di Roma
Datum, Zeit 8. Dezember 2016, 15:15-16:15
Ort HG G 43
Abstract After a separation of variables ansatz, the equations for vector and tensor test fields on a Schwarzschild black hole background reduce to radial ODEs. More precisely, we refer to the wave equation for vector fields and the Lichnerowicz equation for metric perturbations. These equations can be thought of as the harmonic gauge versions of, respectively, the Maxwell and linearized Einstein equations. These radial ODEs pose a spectral problem that is non-standard in several ways: they are coupled matrix equations, they are not naturally self-adjoint on a function space with a positive definite inner product, and the spectral parameter appears non-linearly (both linearly and quadratically). Nevertheless, we can realize these differential equations as closed operators between certain Hilbert spaces, with purely real spectrum (in the sense of operator pencils). This result is only possible due to an explicit and highly non-trivial equivalence of these equations to systems of decoupled generalized Regge-Wheeler scalar equations, which are known to pose standard self-adjoint spectral problems.
Spectral theory of vector and tensor fields on Schwarzschild spacetimeread_more
HG G 43
15. Dezember 2016
15:15-16:15 		Christoph Keller
ETH Zurich
Details

Talks in Mathematical Physics

Titel Mathieu Moonshine and Symmetry Surfing
Referent:in, Affiliation Christoph Keller, ETH Zurich
Datum, Zeit 15. Dezember 2016, 15:15-16:15
Ort HG G 43
Abstract I will give a brief introduction to moonshine, the surprising connection between modular forms and sporadic simple groups. I will quickly discuss the original monstrous moonshine, and then talk about the more recently discovered Mathieu moonshine. I will explain why the explanation of the original moonshine most likely does not work for this new type of moonshine. I will then discuss a proposed explanation due to Taormina and Wendland, namely the idea of `symmetry surfing', i.e. combining the symmetries of different K3 sigma models. I will present some new results which provide evidence that symmetry surfing should work also for all higher BPS states. This is based on work with Matthias Gaberdiel and Hynek Paul.
Mathieu Moonshine and Symmetry Surfingread_more
HG G 43
16. Dezember 2016
13:00-14:00 		Pavel Mnev
University of Notre Dame
Details

Talks in Mathematical Physics

Titel Towards derived Wilson's RG flow along the poset of CW complexes: case of cellular non-abelian BF theory
Referent:in, Affiliation Pavel Mnev, University of Notre Dame
Datum, Zeit 16. Dezember 2016, 13:00-14:00
Ort Y27 G 28
Abstract Simple homotopy equivalence of CW complexes is generated by local moves - Whitehead’s elementary expansions and collapses of CW complexes. To a collapse Y —> X, one can associate an elementary (i,p,K)-triple (chain contraction data) from the cochains of the larger complex Y to cochains of the smaller complex X. This triple defines the gauge-fixing data for an elementary BV pushforward from the cellular BF theory on Y onto X. This pushforward disagrees with the “standard” cellular BF theory on X by a homotopy of solutions of the quantum master equation (a canonical transformation). If X is a cellular aggregation of Y (i.e. Y is a subdivision of X), one can present the move Y —> X as a particular sequence of expansions and collapses. To each such presentation, there corresponds a particular distinguished (i,p,K) triple preserving integral cochains. The program is to encode the “disagreement” above in a systematic way in the “derived” (or “Q-exact”) Wilson’s RG flow (for cellular BF theory) along the poset of CW complexes. A related concept is the Q-exact stress-energy tensor in cellular BF theory. The program is substantiated by an explicit computation, corresponding to the star aggregation for the BF theory on a 2-simplex.
Towards derived Wilson's RG flow along the poset of CW complexes: case of cellular non-abelian BF theoryread_more
Y27 G 28
* 17. Januar 2017
14:00-15:00 		Marko Zivkovic
University of Luxembourg
Details

Talks in Mathematical Physics

Titel Multi-oriented graph complexes
Referent:in, Affiliation Marko Zivkovic, University of Luxembourg
Datum, Zeit 17. Januar 2017, 14:00-15:00
Ort HG G 19.1
Abstract We introduce the sequence of multi-oriented graph complexes, the 0-oriented one being the standard Kontsevich's graph complex. We provide direct combinatorial quasi-isomorphisms between them, showing that the homologies of all such graph complexes are indeed the same.
Multi-oriented graph complexesread_more
HG G 19.1

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