BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Umut Varolgunes (University of Edinburgh) DTSTART:20210928T140000Z DTEND:20210928T150000Z DTSTAMP:20260423T021433Z UID:Freemath/58 DESCRIPTION:Title: Quantum cohomology as a deformation of symplectic cohomology\nby Umu t Varolgunes (University of Edinburgh) as part of Free Mathematics Seminar \n\n\nAbstract\nConsider a positively monotone closed symplectic manifold $M$ and a symplectic simple crossings divisor $D$ in it. Assume that the P oincare dual of the anti-canonical class is a positive rational linear com bination of the classes $[D_i]$\, where $D_i$ are the components of $D$ wi th their symplectic orientation. A choice of such coefficients\, called th e weights\, (roughly speaking) equips $M-D$ with a Liouville structure. I will start by discussing results relating the symplectic cohomology of $M- D$ with quantum cohomology of $M$. These results are particularly sharp wh en the weights are all at most 1 (hypothesis A). Then\, I will discuss cer tain rigidity results (inside $M$) for skeleton type subsets of $M-D$\, wh ich will also demonstrate the geometric meaning of hypothesis A in example s. The talk will be mainly based on joint work with Strom Borman and Nick Sheridan.\n LOCATION:https://researchseminars.org/talk/Freemath/58/ END:VEVENT END:VCALENDAR