Hello everyone,

This week we have Roger Casals, from UC Davis speaking in topology seminar at 3:30 central (1:30 pacific). The talk will be virtual, and the link is here:

Topic: Okstate Topology Seminar Time: This is a recurring meeting Meet anytime

Join Zoom Meeting https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09

Meeting ID: 945 2945 1960 Passcode: JSJDecomp

The title and abstract are below:

Title: A microlocal invitation to Legendrian links

Abstract: We present recent developments in symplectic geometry and explain how they motivated new results in the study of cluster algebras. First, we introduce a geometric problem: the study of Lagrangian surfaces in the standard symplectic 4-ball bounding Legendrian knots in the standard contact 3-sphere. Thanks to results from the microlocal theory of sheaves, which we will survey, we then show that this geometric problem gives rise to an interesting moduli space. In fact, we establish a bridge translating geometric operations, such as Lagrangian disk surgeries, into algebraic properties of this moduli space, such as the existence of cluster algebra structures. The talk is intended for a broad mathematical audience and all key ideas will be introduced and motivated.

Best, Neil

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman