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SUMMARY:Caucher Birkar (University of Cambridge\, UK)
DTSTART;VALUE=DATE-TIME:20201209T153000Z
DTEND;VALUE=DATE-TIME:20201209T163000Z
DTSTAMP;VALUE=DATE-TIME:20240328T222525Z
UID:MathColloquium/1
DESCRIPTION:Title: Algebraic Geometry and Beyond\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;VALUE=DATE-TIME:20220628T140000Z
DTEND;VALUE=DATE-TIME:20220628T150000Z
DTSTAMP;VALUE=DATE-TIME:20240328T222525Z
UID:MathColloquium/2
DESCRIPTION:Title: 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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