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BEGIN:VEVENT
SUMMARY:Vikraman Balaji (Chennai Mathematical Institute)
DTSTART;VALUE=DATE-TIME:20211115T113000Z
DTEND;VALUE=DATE-TIME:20211115T133000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/1
DESCRIPTION:Title: Bruhat-Tits group scheme and parahoric torsor-2\nby Vikraman Balaji (
Chennai Mathematical Institute) as part of Algebraic Geometry at IIT Madra
s\n\n\nAbstract\nThe aim of these lectures will be to introduce the notion
of affine buildings and the notions of parahoric groups. The next aim wil
l be to schematize these notions and get an overview of the structure of t
he Bruhat-Tits group schemes over discrete valuation rings. I will work en
tirely on the geometric case of the power series ring in one variable and
the valuation ring there. In the last few lectures I will indicate applica
tions of these concepts to the study of torsors on curves. The goal will b
e to understand the stack of parahoric torsors on smooth projective curves
\, relate them to the classical stack of parabolic bundles and prove a par
ahoric generalization of the Mehta-Seshadri theorem.\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART;VALUE=DATE-TIME:20211118T113000Z
DTEND;VALUE=DATE-TIME:20211118T130000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/2
DESCRIPTION:Title: Motives of moduli of bundles on curves-1\nby Simon Pepin Lehalleur (R
adboud University Nijmegen\, Netherlands) as part of Algebraic Geometry at
IIT Madras\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No lecture
DTSTART;VALUE=DATE-TIME:20211122T113000Z
DTEND;VALUE=DATE-TIME:20211122T133000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/3
DESCRIPTION:by No lecture as part of Algebraic Geometry at IIT Madras\n\nA
bstract: TBA\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART;VALUE=DATE-TIME:20211125T113000Z
DTEND;VALUE=DATE-TIME:20211125T130000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/4
DESCRIPTION:Title: Motives of moduli of bundles on curves-2\nby Simon Pepin Lehalleur (R
adboud University Nijmegen\, Netherlands) as part of Algebraic Geometry at
IIT Madras\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vikraman Balaji (Chennai Mathematical Institute)
DTSTART;VALUE=DATE-TIME:20211129T113000Z
DTEND;VALUE=DATE-TIME:20211129T133000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/5
DESCRIPTION:Title: Bruhat-Tits group scheme and parahoric torsor-3\nby Vikraman Balaji (
Chennai Mathematical Institute) as part of Algebraic Geometry at IIT Madra
s\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART;VALUE=DATE-TIME:20211202T113000Z
DTEND;VALUE=DATE-TIME:20211202T130000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/6
DESCRIPTION:Title: Motives of moduli of bundles on curves-3\nby Simon Pepin Lehalleur (R
adboud University Nijmegen\, Netherlands) as part of Algebraic Geometry at
IIT Madras\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART;VALUE=DATE-TIME:20211209T113000Z
DTEND;VALUE=DATE-TIME:20211209T130000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/7
DESCRIPTION:Title: Motives of moduli of bundles on curves-4\nby Simon Pepin Lehalleur (R
adboud University Nijmegen\, Netherlands) as part of Algebraic Geometry at
IIT Madras\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angel Luis Muñoz Castañeda (Universidad de León)
DTSTART;VALUE=DATE-TIME:20211210T113000Z
DTEND;VALUE=DATE-TIME:20211210T130000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/8
DESCRIPTION:Title: The compactification of the universal moduli space of principal G-bundles
-1\nby Angel Luis Muñoz Castañeda (Universidad de León) as part of
Algebraic Geometry at IIT Madras\n\n\nAbstract\nThese lectures aim to intr
oduce the problem of the compactification of the\nuniversal moduli space o
f principal G-bundles over \, G being a semisimple linear\nalgebraic group
. I will explain recent developments on the subject based on Schmitt’s w
orks\non singular principal G-bundles.\nAfter a brief introduction to the
classical theory of principal G-bundles on smooth projective\ncurves\, I w
ill introduce the notion of singular principal G-bundle. Such objects and
their\nsemistability condition can also be introduced over stable curves\,
and generalized by\nallowing the underlying vector bundle to be a torsion
-free sheaf. When trying to construct a\nuniversal moduli space of singula
r principal G-bundles over \, a problem regarding the\nbehavior\, along wi
th \, of certain numerical parameters (related to the objects and their\ns
emistability condition) show up. I will explain the recent results about t
his problem and\nstate the Existence Theorem of a universal projective mod
uli space of semistable singular\nprincipal G-bundles over . This moduli s
pace contains the universal moduli space of\nsemistable principal G-bundle
s over M_g as an open subset. This condition makes the\nconstructed space
a good candidate for an analog of Pandharipande’s universal\ncompactific
ation of the universal moduli space of vector bundles. This is part of joi
nt work\nwith A. Schmitt. If time permits\, I will speak about some open p
roblems in the subject.\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angel Luis Muñoz Castañeda (Universidad de León)
DTSTART;VALUE=DATE-TIME:20211217T113000Z
DTEND;VALUE=DATE-TIME:20211217T130000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/9
DESCRIPTION:Title: The compactification of the universal moduli space of principal G-bundles
-2\nby Angel Luis Muñoz Castañeda (Universidad de León) as part of
Algebraic Geometry at IIT Madras\n\n\nAbstract\nThese lectures aim to intr
oduce the problem of the compactification of the\nuniversal moduli space o
f principal G-bundles over \, G being a semisimple linear\nalgebraic group
. I will explain recent developments on the subject based on Schmitt’s w
orks\non singular principal G-bundles.\nAfter a brief introduction to the
classical theory of principal G-bundles on smooth projective\ncurves\, I w
ill introduce the notion of singular principal G-bundle. Such objects and
their\nsemistability condition can also be introduced over stable curves\,
and generalized by\nallowing the underlying vector bundle to be a torsion
-free sheaf. When trying to construct a\nuniversal moduli space of singula
r principal G-bundles over \, a problem regarding the\nbehavior\, along wi
th \, of certain numerical parameters (related to the objects and their\ns
emistability condition) show up. I will explain the recent results about t
his problem and\nstate the Existence Theorem of a universal projective mod
uli space of semistable singular\nprincipal G-bundles over . This moduli s
pace contains the universal moduli space of\nsemistable principal G-bundle
s over M_g as an open subset. This condition makes the\nconstructed space
a good candidate for an analog of Pandharipande’s universal\ncompactific
ation of the universal moduli space of vector bundles. This is part of joi
nt work\nwith A. Schmitt. If time permits\, I will speak about some open p
roblems in the subject.\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angel Luis Muñoz Castañeda (Universidad de León)
DTSTART;VALUE=DATE-TIME:20211224T113000Z
DTEND;VALUE=DATE-TIME:20211224T130000Z
DTSTAMP;VALUE=DATE-TIME:20211209T064347Z
UID:LSAGIITM/10
DESCRIPTION:Title: The compactification of the universal moduli space of principal G-bundle
s-3\nby Angel Luis Muñoz Castañeda (Universidad de León) as part of
Algebraic Geometry at IIT Madras\n\n\nAbstract\nThese lectures aim to int
roduce the problem of the compactification of the\nuniversal moduli space
of principal G-bundles over \, G being a semisimple linear\nalgebraic grou
p. I will explain recent developments on the subject based on Schmitt’s
works\non singular principal G-bundles.\nAfter a brief introduction to the
classical theory of principal G-bundles on smooth projective\ncurves\, I
will introduce the notion of singular principal G-bundle. Such objects and
their\nsemistability condition can also be introduced over stable curves\
, and generalized by\nallowing the underlying vector bundle to be a torsio
n-free sheaf. When trying to construct a\nuniversal moduli space of singul
ar principal G-bundles over \, a problem regarding the\nbehavior\, along w
ith \, of certain numerical parameters (related to the objects and their\n
semistability condition) show up. I will explain the recent results about
this problem and\nstate the Existence Theorem of a universal projective mo
duli space of semistable singular\nprincipal G-bundles over . This moduli
space contains the universal moduli space of\nsemistable principal G-bundl
es over M_g as an open subset. This condition makes the\nconstructed space
a good candidate for an analog of Pandharipande’s universal\ncompactifi
cation of the universal moduli space of vector bundles. This is part of jo
int work\nwith A. Schmitt. If time permits\, I will speak about some open
problems in the subject.\n
LOCATION:https://researchseminars.org/talk/LSAGIITM/10/
END:VEVENT
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