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SUMMARY:Yuji Tachikawa (Kavli IPMU)
DTSTART:20210528T063000Z
DTEND:20210528T073000Z
DTSTAMP:20260404T094150Z
UID:UTokyoMathColloquium/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/UToky
 oMathColloquium/1/">Physics and algebraic topology</a>\nby Yuji Tachikawa 
 (Kavli IPMU) as part of UTokyo Math Colloquium\n\n\nAbstract\nAlthough we 
 often talk about the "unreasonable effectiveness of mathematics in the nat
 ural sciences"\, there are great disparities in the relevance of various s
 ubbranches of mathematics to individual fields of natural sciences. Algebr
 aic topology was a subject whose influence to physics remained relatively 
 minor for a long time\, but in the last several years\, theoretical physic
 ists started to appreciate the effectiveness of algebraic topology more se
 riously. For example\, there is now a general consensus that the classific
 ation of the symmetry-protected topological phases\, which form a class of
  phases of matter with a certain particularly simple property\, is done in
  terms of generalized cohomology theories.\n\nIn this talk\, I would like 
 to provide a historical overview of the use of algebraic topology in physi
 cs\, emphasizing a few highlights along the way. If the time allows\, I wo
 uld also like to report my struggle to understand the anomaly of heterotic
  strings\, using the theory of topological modular forms.\n
LOCATION:https://stable.researchseminars.org/talk/UTokyoMathColloquium/1/
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BEGIN:VEVENT
SUMMARY:Gang Tian (BICMR\, Peking University)
DTSTART:20211126T063000Z
DTEND:20211126T073000Z
DTSTAMP:20260404T094150Z
UID:UTokyoMathColloquium/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/UToky
 oMathColloquium/2/">Ricci flow on Fano manifolds</a>\nby Gang Tian (BICMR\
 , Peking University) as part of UTokyo Math Colloquium\n\n\nAbstract\nRicc
 i flow was introduced by Hamilton in early 80s. It preserves the Kahlerian
  structure and has found many applications in Kahler geometry. In this exp
 ository talk\, I will focus on Ricci flow on Fano manifolds. I will first 
 survey some results in recent years\, then I will discuss my joint work wi
 th Li and Zhu. I will also discuss the connection between the long time be
 havior of Ricci flow and some algebraic geometric problems for Fano manifo
 lds.\n
LOCATION:https://stable.researchseminars.org/talk/UTokyoMathColloquium/2/
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SUMMARY:Jun-Muk Hwang (Center for Complex Geometry\, IBS\, Korea)
DTSTART:20211217T063000Z
DTEND:20211217T073000Z
DTSTAMP:20260404T094150Z
UID:UTokyoMathColloquium/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/UToky
 oMathColloquium/3/">Growth vectors of distributions and lines on projectiv
 e hypersurfaces</a>\nby Jun-Muk Hwang (Center for Complex Geometry\, IBS\,
  Korea) as part of UTokyo Math Colloquium\n\n\nAbstract\nFor a distributio
 n on a manifold\, its growth vector is a finite sequence of integers measu
 ring the dimensions of the directions spanned by successive Lie brackets o
 f local vector fields belonging to the distribution. The growth vector is 
 the most basic invariant of a distribution\, but it is sometimes hard to c
 ompute. As an example\, we discuss natural distributions on the spaces of 
 lines covering hypersurfaces of low degrees in the complex projective spac
 e. We explain the ideas in a joint work with Qifeng Li where the growth ve
 ctor is determined for lines on a general hypersurface of degree 4 and dim
 ension 5.\n
LOCATION:https://stable.researchseminars.org/talk/UTokyoMathColloquium/3/
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