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SUMMARY:Caucher Birkar (University of Cambridge\, UK)
DTSTART:20201209T153000Z
DTEND:20201209T163000Z
DTSTAMP:20260404T092655Z
UID:MathColloquium/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathC
 olloquium/1/">Algebraic Geometry and Beyond</a>\nby Caucher Birkar (Univer
 sity of Cambridge\, UK) as part of ICTP Math Colloquium\n\n\nAbstract\nIn 
 this talk we will discuss some fundamental aspects of algebraic geometry a
 nd then discuss connections with some other areas.\n\nThis colloquium is o
 n the occasion of the "2020 Ramanujan Prize Ceremony and a Celebration of 
 Mathematics"\n\nPlease Register in advance for this webinar:\nhttps://zoom
 .us/webinar/register/WN_Gejri_kDRKan47M4-LwV7g\nAfter registration you wil
 l receive a confirmation with the link and password.\n
LOCATION:https://stable.researchseminars.org/talk/MathColloquium/1/
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SUMMARY:Tomasz Mrowka
DTSTART:20220628T140000Z
DTEND:20220628T150000Z
DTSTAMP:20260404T092655Z
UID:MathColloquium/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MathC
 olloquium/2/">More deformations of the cohomology ring of the moduli space
  of representations of the fundamental group of a surface coming from inst
 antons</a>\nby Tomasz Mrowka as part of ICTP Math Colloquium\n\n\nAbstract
 \nThe space of (conjugacy classes of) representations of the fundamental g
 roup of Riemann surface (sometime with punctures) into SU(2) (and other Li
 e groups) 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 cert
 ain stable rank 2 holomorphic vector bundles.\n\n• In differential geome
 try as moduli spaces of flat connections in a principal bundle over the Ri
 emann surface.\n\n• In physics as the critical points of the Yang-Mills 
 functional on connections in a principal bundle over the Riemann surface.\
 n\nThere is a rich story describing the cohomology rings of these spaces i
 n Instanton Floer homology (as does quantum cohomology) provides natural d
 eformations of these ring structures. When the surface has punctures these
  deformations coming in families that appear at first hard to describe. Th
 is talk with review some of the history of this story. Each of the incarna
 tions of the representation space play an important role as evidenced by t
 he large and varied group of mathematicians and physicists that have contr
 ibuted 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 def
 ormations.\n\nPlease register in advance for this meeting:\nhttps://zoom.u
 s/meeting/register/tJAqduyrpzwpEtyvxs7BmUa-pWVA-CVOyBnW\nAfter registering
 \, you will receive a confirmation email containing information about join
 ing the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/MathColloquium/2/
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