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CATEGORIES:Algebraic Geometry Seminar
SUMMARY:A new spin on GW theory - Danilo Lewański\, Univer
sità di Trieste and Université de Genève
DTSTART;TZID=Europe/London:20230201T141500
DTEND;TZID=Europe/London:20230201T151500
UID:TALK194200AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/194200
DESCRIPTION:Moduli spaces of complex surfaces are hard and com
puting all their GW invariants is for the moment o
ut of reach. The GW of certain surfaces however ca
n be reduced to the GW theory of curves together w
ith an extra spin structure. For us this is partic
ularly interesting as it eventually boils down to
spin Hurwitz numbers and topological recursion of
Eynard and Orantin. Hence we decided to attempt th
e extension of the Okounkov-Pandharipande trilogy
on the GW of curves to the spin setting (we are no
w 2 papers in\, looking for some extra ideas to un
lock the last one!). Current results involve argua
bly the hardest part already\, i.e. the spin Riema
nn sphere\, describing its integrability\, ELSV fo
rmulae\, and providing an algorithm to compute the
GW invariants. This reproves a conjecture by Maul
ik-Pandharipande in degrees 1 and 2 and generalise
s it to higher degrees.
LOCATION:CMS MR13
CONTACT:Dhruv Ranganathan
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