swissmapgeometrytopology
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swissmapgeometrytopology [2015/01/12 00:00] – [FIRST SWISSMAP GEOMETRY&TOPOLOGY CONFERENCE] g.m | swissmapgeometrytopology [2015/01/14 21:50] – [FIRST SWISSMAP GEOMETRY&TOPOLOGY CONFERENCE] g.m | ||
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Ligne 39: | Ligne 39: | ||
Lothar Göttsche (Trieste, IT); | Lothar Göttsche (Trieste, IT); | ||
Ilia Itenberg (Paris, FR); | Ilia Itenberg (Paris, FR); | ||
- | Felix Janda (ETHZ); | + | Felix Janda (ETHZ) |
Andrés Jaramillo (Paris, FR); | Andrés Jaramillo (Paris, FR); | ||
Johannes Josi (UNIGE); | Johannes Josi (UNIGE); | ||
Ligne 50: | Ligne 50: | ||
Alina Pavlikova (St. Petersburg, RU); | Alina Pavlikova (St. Petersburg, RU); | ||
Maria Podkopaeva (SwissMAP); | Maria Podkopaeva (SwissMAP); | ||
- | Michael Polyak (Haifa, IL); | ||
Arthur Renaudineau (Paris, FR); | Arthur Renaudineau (Paris, FR); | ||
Christoph Schiessl (ETHZ); | Christoph Schiessl (ETHZ); | ||
Ligne 69: | Ligne 68: | ||
**Abstracts** | **Abstracts** | ||
- | **Lenny NG** //Conormal bundles, knot invariants, and topological strings// \\ | + | **Lenny NG** |
In this minicourse, we will explore a method for studying topological knots through the symplectic/ | In this minicourse, we will explore a method for studying topological knots through the symplectic/ | ||
\\ | \\ | ||
- | | + | |
+ | **Anton ALEKSEEV** | ||
+ | In this talk, we first review the classical moment map theory including symplectic reduction, convexity properties and Duistermaat-Heckman localization. We then pass to more exotic moment map theories with values in solvable and compact Lie groups. | ||
+ | \\ | ||
+ | |||
+ | **Anna BELIAKOVA** //Trace of the categorified quantum groups// \\ | ||
+ | In this talk I will give a gentle introduction to the categorified quantum groups and show that the trace (or 0th Hochschild homology) of the Khovanov-Lauda 2-category is isomorphic to the current algebra. Then I'll discuss some applications of this fact to link homology theories. | ||
+ | (Coauthors: Zaur Guliyev, Kazuo Habiro, Aaron Lauda, and Ben Webster.) | ||
+ | \\ | ||
+ | |||
+ | **Christian BLANCHET** | ||
+ | In common work with François Costantino, Nathan Geer and | ||
+ | Bertrand Patureau, we have obtained new TQFTs based on an " | ||
+ | variant of quantum sl(2). | ||
+ | We will present the relevant representation category, sketch the | ||
+ | construction of the TQFT vector spaces, | ||
+ | and describe the new Mapping Class Groups representations. | ||
+ | \\ | ||
+ | |||
+ | **Tobias EKHOLM** | ||
+ | Knot contact homology is based on transporting phenomena in smooth topology (knots in a 3-manifold) to symplectic geometry (Lagrangian conromals in the cotangent bundle). This is a rather general scheme that can be applied also in other situations. We survey some recent results in that direction about cotangent bundles of high-dimensional homotopy spheres and about knot contact homology in other dimensions and codimensions. As will be clear, the 3-dimensional case has many special features. In particular we explain that it is related to topological string theory in a 3-dimensional Calabi-Yau manifold as well as to Chern-Simons gauge theory. | ||
+ | \\ | ||
+ | |||
+ | **Jean-Yves WELSCHINGER** | ||
+ | I will explain how to bound from above the expected Betti numbers of the vanishing loci of | ||
+ | random linear combinations of eigenvalues of any self adjoint positive elliptic pseudo-differential operator | ||
+ | on some smooth closed manifold. |
swissmapgeometrytopology.txt · Dernière modification : 2015/01/20 13:46 de g.m