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SUMMARY:Robert Hanson (IST Lisbon)
DTSTART:20220527T160000Z
DTEND:20220527T170000Z
DTSTAMP:20260422T212829Z
UID:GeometricStrNxtGn/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeometricStr
 NxtGn/1/">Fourier-Mukai Transforms for Compactified Prym Varieties</a>\nby
  Robert Hanson (IST Lisbon) as part of Geometric Structures - NextGen\n\n\
 nAbstract\nModuli of Higgs bundles naturally fit into an SYZ mirror symmet
 ry picture\, which predicts dualities on the fibers of the Hitchin fibrati
 on. We shall explore these predictions for the structure groups G = GL_n a
 nd G = SL_n\, connecting work of Dima Arinkin with a forthcoming paper of 
 Emilio Franco\, João Ruano and myself.\n
LOCATION:https://researchseminars.org/talk/GeometricStrNxtGn/1/
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BEGIN:VEVENT
SUMMARY:Karim Rega (University of Edinburgh)
DTSTART:20220627T160000Z
DTEND:20220627T170000Z
DTSTAMP:20260422T212829Z
UID:GeometricStrNxtGn/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeometricStr
 NxtGn/2/">Parahoric Higgs Sheaves</a>\nby Karim Rega (University of Edinbu
 rgh) as part of Geometric Structures - NextGen\n\n\nAbstract\nSoon after t
 he development of the theory of Higgs bundles and non-abelian Hodge theory
  on complex projective curves\, Simpson looked at the formulation of these
  notions over punctured curves.  Earlier work for regular bundles by Mehta
  and Seshadri already showed that the natural structure here is that of a 
 parabolic bundle\, leading to the notion of a parabolic Higgs bundle. Rece
 ntly\, it has become clear that a more uniform way to look at these subjec
 ts is through the study of parahoric torsors. In this talk I will attempt 
 to motivate the need for the parahoric story\, give some elements of the d
 efinition and formulate the notion of a parahoric Higgs bundle\n
LOCATION:https://researchseminars.org/talk/GeometricStrNxtGn/2/
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SUMMARY:Alex Nolte (Rice University)
DTSTART:20220923T160000Z
DTEND:20220923T170000Z
DTSTAMP:20260422T212829Z
UID:GeometricStrNxtGn/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeometricStr
 NxtGn/3/">Higher Complex Structures and SL(3\,R) Hitchin Components</a>\nb
 y Alex Nolte (Rice University) as part of Geometric Structures - NextGen\n
 \n\nAbstract\nA source of richness in Teichmüller theory is that Teichmü
 ller spaces have descriptions both in terms of group representations and i
 n terms of hyperbolic and complex structures. A program in higher-rank Tei
 chmüller theory is to understand to what extent there are analogous geome
 tric interpretations of Hitchin components. In this talk\, I'll discuss hi
 gher degree complex structures\, which were defined by Fock and Thomas and
  are conjectured to parameterize SL(n\,R) Hitchin components. I'll then ta
 lk about recent results describing the SL(3\,R) Hitchin component in terms
  of higher complex structures\, and some intrinsic structural features of 
 Fock-Thomas spaces.\n
LOCATION:https://researchseminars.org/talk/GeometricStrNxtGn/3/
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