Partition counting, instantons and enumerative geometry

APA

Szabo, R. (2023). Partition counting, instantons and enumerative geometry. Perimeter Institute for Theoretical Physics. https://pirsa.org/23120037

MLA

Szabo, Richard. Partition counting, instantons and enumerative geometry. Perimeter Institute for Theoretical Physics, Dec. 07, 2023, https://pirsa.org/23120037

BibTex

          @misc{ scivideos_PIRSA:23120037,
            doi = {10.48660/23120037},
            url = {https://pirsa.org/23120037},
            author = {Szabo, Richard},
            keywords = {Mathematical physics},
            language = {en},
            title = {Partition counting, instantons and enumerative geometry},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {dec},
            note = {PIRSA:23120037 see, \url{https://scivideos.org/pirsa/23120037}}
          }
          

Richard Szabo Heriot-Watt University

Source Repository PIRSA

Abstract

Counting partitions in diverse dimensions is a long-standing problem in enumerative combinatorics. It also plays a prominent role in the physics of instanton counting and in algebraic geometry through the computation of Donaldson-Thomas invariants. In this talk I will give an overview of these counting problems, and discuss how recent developments in the computation of instanton/Donaldson-Thomas partition functions clarify some open problems in the enumeration of higher-dimensional partitions.

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Zoom link https://pitp.zoom.us/j/92547375606?pwd=VDBiTTV6QjBtWThnSjJPc0phVEI1dz09