
Virtual Classes in Algebraic Geometry
Location: Evans Hall 5Created on Jan 17, 2018 03:35 PM PST 
UC Berkeley Colloquium: padic algebraic Ktheory and topological cyclic homology
Location: 60 Evans Hall Speakers: Akhil Mathew (University of Chicago)http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=115325
Algebraic Ktheory is a basic invariant of rings connected to deep phenomena in arithmetic, geometry, and topology. When one works with the padic Ktheory of padic 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 Ktheory, 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 Ktheory.
Updated on Feb 16, 2018 09:42 AM PST 
EGN Open GW seminar: Torus knots, open GromovWitten 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 openclosed GromovWitten 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 openclosed GromovWitten 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 
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 4dimensional 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

Current Colloquia & Seminars 