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SUMMARY:A tale of four theories - Navid Nabijou\, Cambridge
DTSTART:20220126T141500Z
DTEND:20220126T151500Z
UID:TALK168002@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:I will explain the web of relationships connecting four genus-
 zero Gromov-Witten theories of snc pairs: logarithmic\, orbifold\, naive a
 nd local. We will see that the orbifold\, naive and local theories all coi
 ncide\, but that their relationship to the logarithmic theory is complicat
 ed\, involving delicate geometry and combinatorics. Our proofs hinge on a 
 technique - “rank reduction” - which reduces questions about snc divis
 ors to questions about smooth divisors\, where the situation is much-bette
 r understood. This technique originates from some basic observations on th
 e geometry of the moduli space of logarithmic stable maps\, which I will p
 resent. This talk is based on joint works with Ranganathan and Battistella
 -Tseng-You\, and on upcoming joint work with Battistella-Ranganathan.
LOCATION:CMS MR13
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