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SUMMARY:Wall crossing for quasimaps and  representations of symmetric grou
 ps - Young-Hoon Kiem (Korea Institute for Advanced Study (KIAS))
DTSTART:20240617T130000Z
DTEND:20240617T140000Z
UID:TALK217666@talks.cam.ac.uk
DESCRIPTION:The notion of quasimaps is a generalization of Kontsevich-Mani
 n's stable maps to GIT quotients and allows us to consider a variety of st
 ability conditions. From the beginning of Gromov-Witten theory\, quasimaps
  played a key role and it turned out to be quite fruitful to study wall cr
 ossing of moduli spaces of quasimaps. In this talk\, we will look into Le 
 Potier's stability for quasimaps and find that the wall crossing gives us 
 a new construction of the moduli spaces of pointed rational curves. Using 
 this\, we can effectively compute the characters of their cohomology by th
 e symmetric group action which permutes the marked points. As a consequenc
 e\, we can show that the invariant cohomology is asymptotically log-concav
 e but not strongly log-concave.&nbsp\;\nBased on joint work with Jinwon Ch
 oi and Donggun Lee.
LOCATION:Seminar Room 1\, Newton Institute
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