### Info

This seminar features recent results at the intersection of high-energy physics, string theory, and geometry and topology.

** Prerequisites:** None. Everyone is welcome. To receive announcements for
this seminar, and for the advertisement of other talks at the intersection of physics and
geometry in Heidelberg,
you may subscribe to the
Mailing List.

** Time and Place:** Regularly: Monday, 2 p.m.s.t., MATHEMATIKON
SR 3

Alternatively: Tuesday or Thursday, 2 p.m.s.t., various locations (or as noted below).

### Vorträge

Date | Speaker | Title, Abstract |
---|---|---|

Tuesday, March 13 2:00 p.m.s.t. |
Piotr Kucharski (Uppsala) | Extremal \(A\)-polynomials of knots |

In my talk, I will explain in an elementary way what extremal \(A\)-polynomials are, and show how to obtain them from the usual (\(a\)-deformed) \(A\)-polynomials of knots. Then I will try to reward your attention by showing applications in knot theory, string theory, and contact geometry. | ||

Friday, March 16 SR 3, 2:00 p.m.s.t. |
Piotr Kucharski (Uppsala) | Knots–Quivers Correspondence |

This is a continuation of Piotr's previous talk, which will focus on recent work with Sułkowski, Reinecke, and Stošić. | ||

Monday, April 30 | TBA | TBA |

This is the abstract. | ||

Monday | ||

Monday, July 9 SR C, 2:00 p.m.s.t. |
Eric Sharpe (Virginia) | A proposal for nonabelian mirrors in two-dimensional theories |

In this talk we will describe a proposal for nonabelian mirrors to two-dimensional \((2,2)\) supersymmetric gauge theories, generalizing the Hori-Vafa construction for abelian gauge theories. Specifically, we will describe a construction of B-twisted Landau-Ginzburg orbifolds whose classical physics encodes Coulomb branch relations (quantum cohomology), excluded loci, and correlation functions of A-twisted gauge theories. The proposal has been checked in a wide variety of cases, but the talk will focus on exploring the proposal in two examples: Grassmannians (constructed as \({\it U}(k)\) gauge theories with fundamental matter), and SO(2k) gauge theories. If time permits, we will also discuss how this mirror proposal can be applied to test and refine recent predictions for IR behavior of pure supersymmetric \({\it SU}(n)\) gauge theories in two dimensions. | ||

Monday, July 16, 2pm Philosophenweg 19! |
Michael Gutperle (UCLA) | Holographic description of 5-dimensional conformal field theories. |

This is the abstract. | ||

Wednesday, August 8 SR 3, 2:00 p.m.s.t. |
Makiko Mase (Tokyo Metropolitan University) | On duality of families of K3 surfaces |

Since an introduction to mathematical world from physicians, many concepts of mirror symmetry has been studied. In my talk, we will discuss a mirror of polytopes due to Batyrev, and that of Picard lattices of families of K3 surfaces due to Dolgachev. We conclude that these mirror symmetries correspond when we consider families that are obtained by a strange duality of bimodal singularities due to Ebeling-Takahashi, and Ebeling-Ploog. |

### Veranstalter

Prof. J. Walcher, walcher@uni-heidelberg.de

Dr. Richard Eager, eager@mathi.uni-heidelberg.de

Dr. Ingmar Saberi, saberi@mathi.uni-heidelberg.de