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SUMMARY:Carl Lian
DTSTART:20220407T090000Z
DTEND:20220407T100000Z
DTSTAMP:20260423T021706Z
UID:HubEG/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HubEG/3/">Cu
 rve-counting with fixed domain (“Tevelev degrees”)</a>\nby Carl Lian a
 s part of Events Hub: Enumerative geometry\n\n\nAbstract\nWe will consider
  the following problem: if (C\,x_1\,...\,x_n) is a fixed general pointed c
 urve\, and X is a fixed target variety with general points y_1\,...\,y_n\,
  then how many maps f:C -> X in a given homology class are there\, such th
 at f(x_i)=y_i? When considered virtually in Gromov-Witten theory\, the ans
 wer may be expressed in terms of the quantum cohomology of X\, leading to 
 explicit formulas in some cases (Buch-Pandharipande). The geometric questi
 on is more subtle\, though in the presence of sufficient positivity\, it i
 s expected that the virtual answers are enumerative. I will give an overvi
 ew of recent progress on various aspects of this problem\, including joint
  work with Farkas\, Pandharipande\, and Cela\, as well as work of other au
 thors.\n\nZoom: 849 963 1368 Code: YMSC\n
LOCATION:https://researchseminars.org/talk/HubEG/3/
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