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VERSION:2.0
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CALSCALE:GREGORIAN
X-WR-CALNAME:Harvard–MIT Algebraic Geometry Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261009T081620Z
UID:tag:localist.com\,2008:EventInstance_45959411510264
DTSTART:20240402T190000Z
DTEND:20240402T200000Z
DESCRIPTION:Speaker: Julianna Tymoczko  (Smith College)\n\nTitle: Webs and 
 Schubert calculus for Springer fibers\n\nAbstract: Classical Schubert calc
 ulus analyzes the geometry of the flag variety\, namely the space of neste
 d subspaces $V_1 \\subseteq V_2 \\subseteq \\cdots \\subseteq \\mathbb{C}^
 n$\, asking enumerative questions about intersections of linear spaces tha
 t turn out to be equivalent to deep problems in combinatorics and represen
 tation theory. In this talk\, we'll describe some recent results in the Sc
 hubert calculus of Springer fibers. Given a nilpotent linear operator $X$\
 , the Springer fiber of $X$ is the subvariety of flags that are fixed by $
 X$ in the sense that $XV_i \\subseteq V_i$ for all $i$. The top-dimensiona
 l cohomology of Springer fibers admits a representation of the symmetric g
 roup first discovered by Tonny Springer as the seminal example of a geomet
 ric representation. Where classical Schubert calculus describes geometry g
 overned by permutations\, that of Springer fibers incorporates the combina
 torics both of permutations and of partitions. We'll describe new results 
 about this geometry in more detail\, including evidence that from a geomet
 ric and topological perspective\, the best combinatorial model for Springe
 r fibers comes from representation-theoretic objects called webs.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 132
SUMMARY:Harvard–MIT Algebraic Geometry Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/copy-of-harvardmit-algebraic-g
 eometry-seminar-3974
CATEGORIES:Conferences/Seminars/Lectures
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