BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Robert Hanson (IST Lisbon)
DTSTART;VALUE=DATE-TIME:20220527T160000Z
DTEND;VALUE=DATE-TIME:20220527T170000Z
DTSTAMP;VALUE=DATE-TIME:20221209T234724Z
UID:GeometricStrNxtGn/1
DESCRIPTION:Title: Fourier-Mukai Transforms for Compactified Prym Varieties\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/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karim Rega (University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20220627T160000Z
DTEND;VALUE=DATE-TIME:20220627T170000Z
DTSTAMP;VALUE=DATE-TIME:20221209T234724Z
UID:GeometricStrNxtGn/2
DESCRIPTION:Title: Parahoric Higgs Sheaves\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/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Nolte (Rice University)
DTSTART;VALUE=DATE-TIME:20220923T160000Z
DTEND;VALUE=DATE-TIME:20220923T170000Z
DTSTAMP;VALUE=DATE-TIME:20221209T234724Z
UID:GeometricStrNxtGn/3
DESCRIPTION:Title: Higher Complex Structures and SL(3\,R) Hitchin Components\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/
END:VEVENT
END:VCALENDAR