I give a survey of the recent progress on blowup formulas. I will discuss the generalizations of blowup equations to various supersymmetric gauge theories in 4d, 5d, 6d, and to refined topological string theory on local Calabi-Yau threefolds. I will also discuss various applications of blowup equations such as in integrable systems and isomonodromic systems. I also discuss the relation between blowup equations and (refined) holomorphic anomaly equations which are two universal approaches to solve enumerative invariants of local Calabi-Yau threefolds.
Bio:
Kaiwen Sun obtained Phd on geometry and mathematical physics at Scuola Internazionale Superiore di Studi Avanzati (SISSA) in 2020. He is now a postdoctoral fellow at Max Planck Institute for Mathematics in Bonn. He works on various aspects of mathematical physics such as CFTs, supersymmetric gauge theories, and Calabi-Yau manifolds.
Tencent Meeting:602-612-441
Prof. Yinan Wang