Joint LA Topology Seminar: The Hall algebra of the Fukaya category of a surface

Monday, November 12, 2018 at 4:45pm to 5:45pm

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Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089

Peter Samuelson, UC Riverside

Abstract:
The Hall algebra of an abelian (or triangulated) category has a basis given by isomorphism classes of objects, and the product "counts extensions" ("counts distinguished triangles"). This construction has been important in representation theory, e.g. it gives a conceptual construction of quantum groups. We will discuss a conjectural description of the Hall algebra of the Fukaya category of a surface (using the version defined by Haiden, Katzarkov, and Kontsevich). We also discuss a connection to the skein algebra of the surface. (This is joint work with B. Cooper.)

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department
Mathematics
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