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SUMMARY:Caucher Birkar (University of Cambridge\, UK)
DTSTART:20201209T153000Z
DTEND:20201209T163000Z
DTSTAMP:20260422T225755Z
UID:MathColloquium/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathColloqui
 um/1/">Algebraic Geometry and Beyond</a>\nby Caucher Birkar (University of
  Cambridge\, UK) as part of ICTP Math Colloquium\n\n\nAbstract\nIn this ta
 lk we will discuss some fundamental aspects of algebraic geometry and then
  discuss connections with some other areas.\n\nThis colloquium is on the o
 ccasion of the "2020 Ramanujan Prize Ceremony and a Celebration of Mathema
 tics"\n\nPlease Register in advance for this webinar:\nhttps://zoom.us/web
 inar/register/WN_Gejri_kDRKan47M4-LwV7g\nAfter registration you will recei
 ve a confirmation with the link and password.\n
LOCATION:https://researchseminars.org/talk/MathColloquium/1/
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SUMMARY:Tomasz Mrowka
DTSTART:20220628T140000Z
DTEND:20220628T150000Z
DTSTAMP:20260422T225755Z
UID:MathColloquium/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathColloqui
 um/2/">More deformations of the cohomology ring of the moduli space of rep
 resentations of the fundamental group of a surface coming from instantons<
 /a>\nby Tomasz Mrowka as part of ICTP Math Colloquium\n\n\nAbstract\nThe s
 pace of (conjugacy classes of) representations of the fundamental group of
  Riemann surface (sometime with punctures) into SU(2) (and other Lie group
 s) has been the focus of study in mathematics and physics for many years. 
 Besides having a concrete topological description these spaces have other 
 incarnations.\n\n• In algebraic geometry as moduli spaces of certain sta
 ble rank 2 holomorphic vector bundles.\n\n• In differential geometry as 
 moduli spaces of flat connections in a principal bundle over the Riemann s
 urface.\n\n• In physics as the critical points of the Yang-Mills functio
 nal on connections in a principal bundle over the Riemann surface.\n\nTher
 e is a rich story describing the cohomology rings of these spaces in Insta
 nton Floer homology (as does quantum cohomology) provides natural deformat
 ions of these ring structures. When the surface has punctures these deform
 ations coming in families that appear at first hard to describe. This talk
  with review some of the history of this story. Each of the incarnations o
 f the representation space play an important role as evidenced by the larg
 e and varied group of mathematicians and physicists that have contributed 
 to the this study over the years. At the end some we’ll give some hints 
 at some of the ideas behind computing these further families of deformatio
 ns.\n\nPlease register in advance for this meeting:\nhttps://zoom.us/meeti
 ng/register/tJAqduyrpzwpEtyvxs7BmUa-pWVA-CVOyBnW\nAfter registering\, you 
 will receive a confirmation email containing information about joining the
  meeting.\n
LOCATION:https://researchseminars.org/talk/MathColloquium/2/
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