Speaker: Michel van Garrel (University of Birmigham)
Time: 2025-10-24 12:00-16:00
Location: 1610, SIMIS
摘要：
Intrinsic Mirror Symmetry (Gross, Siebert) associates to a log Calabi-Yau variety (Y,D) a geometric generating function with support the tropicalisation of (Y,D), and with invariants the corresponding punctured Gromov-Witten invariants. This construction defines a ring and a mirror family. The enumerative mirror conjecture then states that various period integrals on the mirror family compute various Gromov-Witten invariants of (Y,D), not necessarily punctured. I will describe some log K3 surfaces, where this is realized, and where one obtains some new relations for Gromov-Witten invariants, including via modular forms. Joint work with Siebert and Ruddat.
About Speaker:
Michel van Garrel is a Swiss-born mathematician specialising in algebraic and enumerative geometry, currently holding a position in the School of Mathematics at the University of Birmingham. After completing his PhD in 2013 at the California Institute of Technology under Tom Graber, he held post-doctoral and fellowship positions, including a Marie Curie Fellowship at the University of Warwick, before his current appointment.
Van Garrel’s research focuses on the interplay between log Gromov–Witten theory, mirror symmetry (especially via the Gross–Siebert programme), and birational geometry, aiming to build correspondences between different enumerative theories (such as log, open, local Gromov–Witten invariants) and to construct mirror families of log Calabi–Yau surfaces.
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