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SUMMARY:Minhyong Kim (Warwick and Korea Institute for Advanced Study)
DTSTART:20200501T140000Z
DTEND:20200501T150000Z
DTSTAMP:20260422T213010Z
UID:CGTAColloquium/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGTAColloqui
 um/1/">Principal bundles in diophantine geometry</a>\nby Minhyong Kim (War
 wick and Korea Institute for Advanced Study) as part of Colloquium of the 
 Centre for Geometry\, Topology\, and Applications (Southampton)\n\n\nAbstr
 act\nPrincipal bundles and their moduli have seen a remarkable array of ap
 plication in geometry and topology over the past 50 years or so. Their use
 s in number theory are perhaps less well known. This talk will give a brie
 f introduction to arithmetic principal bundles with a focus on application
  to Diophantine geometry\, the geometric study of rational or integral sol
 utions to polynomial equations.\n
LOCATION:https://researchseminars.org/talk/CGTAColloquium/1/
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SUMMARY:Jie Wu (Hebei Normal University\, China)
DTSTART:20210507T140000Z
DTEND:20210507T150000Z
DTSTAMP:20260422T213010Z
UID:CGTAColloquium/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGTAColloqui
 um/2/">Modular cohomotopy groups</a>\nby Jie Wu (Hebei Normal University\,
  China) as part of Colloquium of the Centre for Geometry\, Topology\, and 
 Applications (Southampton)\n\n\nAbstract\nCohomotopy (cohomology) theory c
 an be viewed as a (non-abelian) generalized cohomology theory\, that has v
 arious applications such as its deep connections with framed cobordism via
  unstable and framed version of Pontrjagin-Thom construction. The (integra
 l) cohomotopy sets/groups have been extensively studied. In this talk\, af
 ter giving a breif review on cohomotopy theory\, we propose the study on m
 odular cohomotopy theory\, which has canonical connections with integral c
 ohomotopy theory via double suspensions and Anick fibre sequences. Finally
 \, we will report our recent progress on modular cohomotopy theory. This i
 s a joint work with Pengcheng Li and Jianzhong Pan.\n
LOCATION:https://researchseminars.org/talk/CGTAColloquium/2/
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