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SUMMARY:Logarithmic intersection theory and enumerative geometry - Dhruv R
 anganathan (University of Cambridge)
DTSTART:20220726T150000Z
DTEND:20220726T160000Z
UID:TALK176795@talks.cam.ac.uk
DESCRIPTION:A logarithmic structure on an algebraic variety equips it with
 \, among other things\, a natural stratification. In the context of inters
 ection theory\, this means that logarithmic structures select natural prin
 cipal component contributions in an intersection problem. The analysis of 
 these principal components has led to recent new directions in Gromov-Witt
 en theory and in the study of the cohomology of the moduli space of curves
 . I will try to give a tour of these problems and the tools we have to ana
 lyze them\, focusing especially on geometry related to the double ramifica
 tion cycle in the moduli space of curves. The talk will encompass work wit
 h Battistella\, Nabijou\, and Molcho\, as well as touch on independent wor
 k of Holmes\, Pandharipande\, Pixton\, Schmitt\, and Schwarz
LOCATION:Seminar Room 2\, Newton Institute
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