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Current Colloquia & Seminars

  1. UC Berkeley Colloquium: p-adic algebraic K-theory and topological cyclic homology

    Location: 60 Evans Hall
    Speakers: Akhil Mathew (University of Chicago)


    Algebraic K-theory is a basic invariant of rings connected to deep phenomena in arithmetic, geometry, and topology. When one works with the p-adic K-theory of p-adic rings, the theory of trace maps and the apparatus of topological cyclic homology (TC) is often a highly effective approximation used in many computations. The theory TC, while more conceptually involved than K-theory, is often easier to work with. In this talk, I will give a gentle introduction to these theories and explain their applications to some new structural results in K-theory.

    Updated on Feb 16, 2018 09:42 AM PST
  2. EGN Open GW seminar: Torus knots, open Gromov-Witten invariants, and topological recursion

    Location: 748 Evans Hall
    Speakers: Zhengyu Zong (Mathematical Sciences Center, Tsinghua University)

    Given a torus knot K in S^3, one can construct a Lagrangian L_K in the resolved conifold X under the conifold transition. On the other hand, the pair (X, L_K) corresponds to a mirror curve under mirror symmetry. There exist equivalences between the following three objects: The colored HOMFLY polynomial of K, the all genus open-closed Gromov-Witten theory of (X, L_K), and the topological recursion on the mirror curve. The above equivalences are given by the large N duality, mirror symmetry, and the matrix model for the torus knot respectively. In this talk, I will mainly focus on the mirror symmetry between the open-closed Gromov-Witten theory of (X, L_K) and the topological recursion on the mirror curve. I will also mention the other two equivalences if there is enough time. This talk is based on the paper 1607.01208 joint with Bohan Fang.

    Created on Feb 21, 2018 03:51 PM PST
  3. EGN symplectic geometry and mirror symmetry seminar: Lagrangian tori in CP^2

    Location: 748 Evans Hall
    Speakers: Renato Ferreira de Velloso Vianna (Center for Mathematical Sciences)

    We will present an infinite series of monotone Lagrangian tori in CP^2, which arise as fibres of almost toric fibrations (ATFs). We show how to distinguish these tori up to the action of Symp(CP^2). Time permiting, based on a joint work with Tonkonog and Shelukhin, we will present (a 4-dimensional version) of an invariant for any Lagrangian, and use it to determine the space of almost toric fibres modulo the action of Symp(CP^2).

    Created on Feb 15, 2018 08:50 AM PST