# Partition counting, instantons and enumerative geometry

### APA

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

### MLA

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

### BibTex

@misc{ pirsa_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}, year = {2023}, month = {dec}, note = {PIRSA:23120037 see, \url{https://pirsa.org}} }

Richard Szabo Heriot-Watt University

## 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.

---

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