Mathematical Physics Seminar, Mondays

The seminar on mathematical physics will be held on select Mondays and Wednesdays from 12 – 1:30pm in CMSA Building, 20 Garden Street, Room G10.

The list of speakers for the upcoming academic year will be posted below and updated as details are confirmed. Titles and abstracts for the talks will be added as they are received.

For a listing of Mathematical Physics Seminars held prior to the 2018 Spring Semester, please click here.

Date……… Speaker…………. Title/Abstract
2-5-2018 Hyungchul Kim (Pohang University of Science and Technology) Seiberg duality and superconformal index in 3d

Abstract: I will discuss 3d N=2 supersymmetric gauge theories with a unitary gauge group and two matter fields in the adjoint representation. The low energy spectrum of BPS states of the theory can be studied from the superconformal index. The information on the low energy spectrum including monopole operators is essential to construct a Seiberg-type dual theory. Superconformal indices for a dual pair of the theories should be the same, which is a physical basis for a mathematical identity.

2-12-2018 Matthew Stroffregen

(MIT)

Equivariant Khovanov Spaces

Abstract: Associated to a link L in the three-sphere, Lipshitz-Sarkar constructed a topological space, well-defined up to stable homotopy, whose homology is the (even) Khovanov homology of L.  We extend this to construct an “odd Khovanov space” of L, whose homology recovers odd Khovanov homology.  We also equip the odd Khovanov space with a natural involution whose fixed point set is the (even) Khovanov space of Lipshitz-Sarkar, and show that the even Khovanov space admits its own natural involution.  We outline some conjectures relating the even and odd Khovanov spaces.  This is joint work with Sucharit Sarkar and Chris Scaduto.

2-26-2018 Jordan Keller

(Harvard)

Linear Stability of Schwarzschild Black Holes

Abstract: The Schwarzschild black holes comprise a static, spherically symmetric family of black hole solutions to the vacuum Einstein equations.  The physical relevance of such solutions is intimately related to their stability under gravitational perturbations.  We present results on the linear stability of the Schwarzschild black holes, joint work with Pei-Ken Hung and Mu-Tao Wang.

3-5-2018 Shinobu Hosono (Gakushuin University) Movable vs monodromy nilpotent cones of Calabi-Yau manifolds

abstract: I will show two interesting examples of mirror symmetry of Calabi-Yau complete intersections which have birational automorphisms of infinite order. I will first describe/observe mirror correspondences between the movable cones in birational geometry and the monodromy nilpotent cones which are defined at each boundary points (called LCSLs) in the moduli spaces and naturally glued together. In doing this, I will identify  “Picard-Lefschetzs monodromy transformations for flopping curves” in the mirror families. If time permits, I will show one more example of Calabi-Yau complete intersections for which we observe similar correspondence between the birational geometry and  monodromy nilpotent cones. However, in this example, we observe that the correspondence becomes complete when we include a non-toric boundary point in the mirror family.

This is based on a recent paper with H. Takagi (arXiv:170

 

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