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BEGIN:VEVENT
SUMMARY:Vikraman Balaji (Chennai Mathematical Institute)
DTSTART:20211115T113000Z
DTEND:20211115T133000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/1/">Bruhat-Tits group scheme and parahoric torsor-2</a>\nby Vikraman B
 alaji (Chennai Mathematical Institute) as part of Algebraic Geometry at II
 T Madras\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 will be to schematize these notions and get an overview of the structu
 re of the Bruhat-Tits group schemes over discrete valuation rings. I will 
 work entirely on the geometric case of the power series ring in one variab
 le and the valuation ring there. In the last few lectures I will indicate 
 applications of these concepts to the study of torsors on curves. The goal
  will be to understand the stack of parahoric torsors on smooth projective
  curves\, relate them to the classical stack of parabolic bundles and prov
 e a parahoric generalization of the Mehta-Seshadri theorem.\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART:20211118T113000Z
DTEND:20211118T130000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/2/">Motives of moduli of bundles on curves-1</a>\nby Simon Pepin Lehal
 leur (Radboud University Nijmegen\, Netherlands) as part of Algebraic Geom
 etry at IIT Madras\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No lecture
DTSTART:20211122T113000Z
DTEND:20211122T133000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/3
DESCRIPTION:by No lecture as part of Algebraic Geometry at IIT Madras\n\nA
 bstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART:20211125T113000Z
DTEND:20211125T130000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/4/">Motives of moduli of bundles on curves-2</a>\nby Simon Pepin Lehal
 leur (Radboud University Nijmegen\, Netherlands) as part of Algebraic Geom
 etry at IIT Madras\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vikraman Balaji (Chennai Mathematical Institute)
DTSTART:20211129T113000Z
DTEND:20211129T133000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/5/">Bruhat-Tits group scheme and parahoric torsor-3</a>\nby Vikraman B
 alaji (Chennai Mathematical Institute) as part of Algebraic Geometry at II
 T Madras\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART:20211202T113000Z
DTEND:20211202T130000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/6/">Motives of moduli of bundles on curves-3</a>\nby Simon Pepin Lehal
 leur (Radboud University Nijmegen\, Netherlands) as part of Algebraic Geom
 etry at IIT Madras\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (Radboud University Nijmegen\, Netherlands)
DTSTART:20211209T113000Z
DTEND:20211209T130000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/7/">Motives of moduli of bundles on curves-4</a>\nby Simon Pepin Lehal
 leur (Radboud University Nijmegen\, Netherlands) as part of Algebraic Geom
 etry at IIT Madras\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angel Luis Muñoz Castañeda (Universidad de León)
DTSTART:20211210T113000Z
DTEND:20211210T130000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/8/">The compactification of the universal moduli space of principal G-
 bundles-1</a>\nby Angel Luis Muñoz Castañeda (Universidad de León) as p
 art of Algebraic Geometry at IIT Madras\n\n\nAbstract\nThese lectures aim 
 to introduce the problem of the compactification of the\nuniversal moduli 
 space of principal G-bundles over \, G being a semisimple linear\nalgebrai
 c group. I will explain recent developments on the subject based on Schmit
 t’s works\non singular principal G-bundles.\nAfter a brief introduction 
 to the classical theory of principal G-bundles on smooth projective\ncurve
 s\, I will introduce the notion of singular principal G-bundle. Such objec
 ts and their\nsemistability condition can also be introduced over stable c
 urves\, and generalized by\nallowing the underlying vector bundle to be a 
 torsion-free sheaf. When trying to construct a\nuniversal moduli space of 
 singular principal G-bundles over \, a problem regarding the\nbehavior\, a
 long with \, of certain numerical parameters (related to the objects and t
 heir\nsemistability condition) show up. I will explain the recent results 
 about this problem and\nstate the Existence Theorem of a universal project
 ive moduli space of semistable singular\nprincipal G-bundles over . This m
 oduli space contains the universal moduli space of\nsemistable principal G
 -bundles over M_g as an open subset. This condition makes the\nconstructed
  space a good candidate for an analog of Pandharipande’s universal\ncomp
 actification of the universal moduli space of vector bundles. This is part
  of joint work\nwith A. Schmitt. If time permits\, I will speak about some
  open problems in the subject.​\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angel Luis Muñoz Castañeda (Universidad de León)
DTSTART:20211217T113000Z
DTEND:20211217T130000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/9/">The compactification of the universal moduli space of principal G-
 bundles-2</a>\nby Angel Luis Muñoz Castañeda (Universidad de León) as p
 art of Algebraic Geometry at IIT Madras\n\n\nAbstract\nThese lectures aim 
 to introduce the problem of the compactification of the\nuniversal moduli 
 space of principal G-bundles over \, G being a semisimple linear\nalgebrai
 c group. I will explain recent developments on the subject based on Schmit
 t’s works\non singular principal G-bundles.\nAfter a brief introduction 
 to the classical theory of principal G-bundles on smooth projective\ncurve
 s\, I will introduce the notion of singular principal G-bundle. Such objec
 ts and their\nsemistability condition can also be introduced over stable c
 urves\, and generalized by\nallowing the underlying vector bundle to be a 
 torsion-free sheaf. When trying to construct a\nuniversal moduli space of 
 singular principal G-bundles over \, a problem regarding the\nbehavior\, a
 long with \, of certain numerical parameters (related to the objects and t
 heir\nsemistability condition) show up. I will explain the recent results 
 about this problem and\nstate the Existence Theorem of a universal project
 ive moduli space of semistable singular\nprincipal G-bundles over . This m
 oduli space contains the universal moduli space of\nsemistable principal G
 -bundles over M_g as an open subset. This condition makes the\nconstructed
  space a good candidate for an analog of Pandharipande’s universal\ncomp
 actification of the universal moduli space of vector bundles. This is part
  of joint work\nwith A. Schmitt. If time permits\, I will speak about some
  open problems in the subject.​\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angel Luis Muñoz Castañeda (Universidad de León)
DTSTART:20211224T113000Z
DTEND:20211224T130000Z
DTSTAMP:20260404T110957Z
UID:LSAGIITM/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LSAGI
 ITM/10/">The compactification of the universal moduli space of principal G
 -bundles-3</a>\nby Angel Luis Muñoz Castañeda (Universidad de León) as 
 part of Algebraic Geometry at IIT Madras\n\n\nAbstract\nThese lectures aim
  to introduce the problem of the compactification of the\nuniversal moduli
  space of principal G-bundles over \, G being a semisimple linear\nalgebra
 ic group. I will explain recent developments on the subject based on Schmi
 tt’s works\non singular principal G-bundles.\nAfter a brief introduction
  to the classical theory of principal G-bundles on smooth projective\ncurv
 es\, I will introduce the notion of singular principal G-bundle. Such obje
 cts 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
  singular principal G-bundles over \, a problem regarding the\nbehavior\, 
 along with \, of certain numerical parameters (related to the objects and 
 their\nsemistability condition) show up. I will explain the recent results
  about this problem and\nstate the Existence Theorem of a universal projec
 tive moduli space of semistable singular\nprincipal G-bundles over . This 
 moduli space contains the universal moduli space of\nsemistable principal 
 G-bundles over M_g as an open subset. This condition makes the\nconstructe
 d space a good candidate for an analog of Pandharipande’s universal\ncom
 pactification of the universal moduli space of vector bundles. This is par
 t of joint work\nwith A. Schmitt. If time permits\, I will speak about som
 e open problems in the subject.​\n
LOCATION:https://stable.researchseminars.org/talk/LSAGIITM/10/
END:VEVENT
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