SIMIS Seminar on Derived and Noncommutative Geometry: Enumerative Invariants from Calabi-Yau categories

Speaker: Junwu Tu (Shanghai Tech)

Abstract: In the first half, we shall begin by recalling the fact that Hochschild cohomology of an associative algebra has a Gerstenhaber algebra structure. Then we discuss its chain level extension (conjectured by Deligne) that the Hochschild cochain complex carries an E2-algebra structure. Finally, we shall describe the construction of categorical enumerative invariants (CEI) in genus zero. In the second half, we discuss how to extend the previous genus zero construction to the higher genus setting, as well as the open string setting (work in progress).

Time: 15:00-18:00, Mon., Sept. 9, 2024 (with break for tea in the middle)

Location: Room 1410, 14th Floor, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

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