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SUMMARY:Tom Sutherland (Group of Mathematical Physics\, University of Lisb
 on)
DTSTART:20200703T160000Z
DTEND:20200703T170000Z
DTSTAMP:20260423T024612Z
UID:TQFT/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/14/">Mi
 rror symmetry for Painlevé surfaces</a>\nby Tom Sutherland (Group of Math
 ematical Physics\, University of Lisbon) as part of Topological Quantum Fi
 eld Theory Club (IST\, Lisbon)\n\n\nAbstract\nThis talk will survey aspect
 s of mirror symmetry for ten families of non-compact hyperkähler manifold
 s on which the dynamics of one of the Painlevé equations is naturally def
 ined. They each have a pair of natural realisations: one as the complement
  of a singular fibre of a rational elliptic surface and another as the com
 plement of a triangle of lines in a (singular) cubic surface. The two real
 isations relate closely to a space of stability conditions and a cluster v
 ariety of a quiver respectively\, providing a perspective on SYZ mirror sy
 mmetry for these manifolds. I will discuss joint work in progress with Hel
 ge Ruddat studying the canonical basis of theta functions on these cubic s
 urfaces.\n
LOCATION:https://researchseminars.org/talk/TQFT/14/
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