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SUMMARY:Yuji Tachikawa (Kavli IPMU)
DTSTART:20210528T063000Z
DTEND:20210528T073000Z
DTSTAMP:20260422T212827Z
UID:UTokyoMathColloquium/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UTokyoMathCo
 lloquium/1/">Physics and algebraic topology</a>\nby Yuji Tachikawa (Kavli 
 IPMU) as part of UTokyo Math Colloquium\n\n\nAbstract\nAlthough we often t
 alk about the "unreasonable effectiveness of mathematics in the natural sc
 iences"\, there are great disparities in the relevance of various subbranc
 hes of mathematics to individual fields of natural sciences. Algebraic top
 ology was a subject whose influence to physics remained relatively minor f
 or a long time\, but in the last several years\, theoretical physicists st
 arted to appreciate the effectiveness of algebraic topology more seriously
 . For example\, there is now a general consensus that the classification o
 f 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 prov
 ide a historical overview of the use of algebraic topology in physics\, em
 phasizing a few highlights along the way. If the time allows\, I would als
 o like to report my struggle to understand the anomaly of heterotic string
 s\, using the theory of topological modular forms.\n
LOCATION:https://researchseminars.org/talk/UTokyoMathColloquium/1/
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BEGIN:VEVENT
SUMMARY:Gang Tian (BICMR\, Peking University)
DTSTART:20211126T063000Z
DTEND:20211126T073000Z
DTSTAMP:20260422T212827Z
UID:UTokyoMathColloquium/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UTokyoMathCo
 lloquium/2/">Ricci flow on Fano manifolds</a>\nby Gang Tian (BICMR\, Pekin
 g University) as part of UTokyo Math Colloquium\n\n\nAbstract\nRicci flow 
 was introduced by Hamilton in early 80s. It preserves the Kahlerian struct
 ure and has found many applications in Kahler geometry. In this expository
  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 with Li a
 nd Zhu. I will also discuss the connection between the long time behavior 
 of Ricci flow and some algebraic geometric problems for Fano manifolds.\n
LOCATION:https://researchseminars.org/talk/UTokyoMathColloquium/2/
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SUMMARY:Jun-Muk Hwang (Center for Complex Geometry\, IBS\, Korea)
DTSTART:20211217T063000Z
DTEND:20211217T073000Z
DTSTAMP:20260422T212827Z
UID:UTokyoMathColloquium/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UTokyoMathCo
 lloquium/3/">Growth vectors of distributions and lines on projective hyper
 surfaces</a>\nby Jun-Muk Hwang (Center for Complex Geometry\, IBS\, Korea)
  as part of UTokyo Math Colloquium\n\n\nAbstract\nFor a distribution on a 
 manifold\, its growth vector is a finite sequence of integers measuring th
 e dimensions of the directions spanned by successive Lie brackets of local
  vector fields belonging to the distribution. The growth vector is the mos
 t basic invariant of a distribution\, but it is sometimes hard to compute.
  As an example\, we discuss natural distributions on the spaces of lines c
 overing hypersurfaces of low degrees in the complex projective space. We e
 xplain the ideas in a joint work with Qifeng Li where the growth vector is
  determined for lines on a general hypersurface of degree 4 and dimension 
 5.\n
LOCATION:https://researchseminars.org/talk/UTokyoMathColloquium/3/
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