SIMIS String Math Seminar: Fundamentals on (G-equivariant) atoms

报告人: Leonardo Francisco Cavenaghi (ICMS-Sofia)

摘要: In this talk, we introduce the concept of atoms recently introduced by Katzarkov-Kontsevich-Pantev-Yu. Built from Gromov-Witten theory, they have been proven to be useful in understanding questions in birational geometry by examining the behavior of quantum cohomology under blowup (this is a theorem of H. Iritani, following a conjecture of M. Kontsevich). After becoming familiar with some examples, this talk explains how the theory can be extended to the G-equivariant setting, where G is generally a finite subgroup of automorphisms of smooth projective varieties over $\mathbb{C}$. Our results are obtained in collaboration with L. Grama, L. Katzarkov, and M. Kontsevich.

时间: 2025-07-16 16:00:00
地点: Online
Zoom Meeting No.: 843 5816 2911 (Passcode: 470938)


报告人简介: Leonardo Francisco Cavenaghi is currently a Postdoctoral Researcher at ICMS-Sofia. He completed his PhD at the University of São Paulo (USP) under the supervision of Llohann D. Sperança e Marcos Alexandrino. Prior to joining ICMS, he held postdoctoral positions at the University of Fribourg (Switzerland), at IMSA (University of Miami), and the State University of Campinas (Unicamp). He works at the interface of theoretical physics, analytics, elliptic PDEs, Riemannian Geometry, and Dynamical Systems.

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