BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dennis Eriksson (Chalmers University Technology) DTSTART:20210302T170000Z DTEND:20210302T180000Z DTSTAMP:20260423T024448Z UID:GNTRT/5 DESCRIPTION:Title: Ge nus one mirror symmetry\nby Dennis Eriksson (Chalmers University Techn ology) as part of Geometry\, Number Theory and Representation Theory Semin ar\n\n\nAbstract\nMirror symmetry\, in a crude formulation\, is usually pr esented as a correspondence between curve counting on a Calabi-Yau variety X\, and some invariants extracted from a mirror family of Calabi-Yau vari eties. After the physicists Bershadsky-Cecotti-Ooguri-Vafa\, this is organ ised according to the genus of the curves in X we wish to enumerate\, and gives rise to an infinite recurrence of differential equations. In this ta lk\, I will give a general introduction to these problems based on joint w ork with Gerard Freixas and Christophe Mourougane. I will explain the main ideas of the proof of the conjecture for Calabi-Yau hypersurfaces in proj ective space\, relying on the Riemann-Roch theorem in Arakelov geometry. O ur results generalise from dimension 3 to arbitrary dimensions previous wo rk of Fang-Lu-Yoshikawa\n LOCATION:https://researchseminars.org/talk/GNTRT/5/ END:VEVENT END:VCALENDAR