Speaker \u2013 Michel van Garrel (Monash University)<\/p>\n\n\n\n
Location: R1610, SIMIS
Time: 2025-10-24 14:00-16:00<\/p>\n\n\n\n
\u6458\u8981\uff1a<\/strong><\/p>\n\n\n\n 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.<\/p>\n\n\n\n About Speaker:<\/strong><\/p>\n\n\n\n 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\u202fInstitute\u202fof\u202fTechnology under Tom Graber, he held post-doctoral and fellowship positions, including a Marie Curie Fellowship at the University\u202fof\u202fWarwick, before his current appointment.<\/p>\n\n\n\n Van Garrel’s research focuses on the interplay between log Gromov\u2013Witten theory, mirror symmetry (especially via the Gross\u2013Siebert programme), and birational geometry, aiming to build correspondences between different enumerative theories (such as log, open, local Gromov\u2013Witten invariants) and to construct mirror families of log Calabi\u2013Yau surfaces.<\/p>","protected":false},"excerpt":{"rendered":" Speaker \u2013 Michel van Garrel (Monash University) Location: R1610, SIMIS Time: 2025-10-24 14:00-16:00 Abstract: 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 …<\/p>\n
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