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Green's functions on Riemann surfaces I

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Speaker: 
Don Zagier
Datum: 
Mon, 2013-06-10 12:00 - 13:30
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

Fibrations and Adjunctions for quasicategories

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Speaker: 
Daniel Brügmann
Datum: 
Fre, 2013-06-07 13:30 - 15:00
Location: 
MPIM Seminar Room
Parent event: 
Student seminar on higher categories

 

The Fourier decomposition on the Chow ring of certain hyperkaehler fourfolds

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Speaker: 
Charles Vial
Zugehörigkeit: 
Cambridge
Datum: 
Don, 2013-06-06 10:30 - 12:00
Location: 
MPIM Seminar Room
Parent event: 
Seminar Algebraic Geometry (SAG)

Using a codimension-1 algebraic cycle obtained from the Poincare line bundle, Beauville defined the Fourier transform on the Chow ring of an abelian variety A and showed that the Fourier transform induces a decomposition of the Chow ring CH_*(A) which is compatible with its ring structure. We prove that a similar decomposition exists for certain hyperkaehler fourfolds by using a codimension-2 algebraic cycle representing the Beauville--Bogomolov bilinear form. This is joint work with Mingmin Shen.

A theorem of Narasimhan and Seshadri (following Donaldson)

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Speaker: 
S. Lanzat
Datum: 
Mon, 2013-06-03 14:15 - 15:45
Location: 
MPIM Seminar Room
Parent event: 
IMPRS-seminar on moduli of G-bundles

Workshop on Geometry and topology of smooth 4-manifolds

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Organiser(s): 
Inanc Baykur
Datum: 
Mon, 2013-06-03 (All day) - Fre, 2013-06-07 (All day)
Details: 
Program and Abstracts of Workshop on Geometry and topology of smooth 4-manifolds

$\Theta_n$-spaces

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Speaker: 
Karol Szumilo
Datum: 
Fre, 2013-05-31 13:30 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Student seminar on higher categories

 

  • Describe the category $\Theta_n$.
  • $\Theta_n$-spaces and their properties.
  • The comparison map to iterated complete Segal spaces.

 

https://docs.google.com/document/d/1llPzCxlhWSucYymRenInm861KK-QVJxQS0MeEQZdjE8/edit

Topos Theory

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Speaker: 
D. Carchedi
Datum: 
Mit, 2013-05-29 16:15 - 18:00
Location: 
MPIM Seminar Room
Parent event: 
Master's Course on Topos Theory

Kudla's modularity conjecture for cycles of codimension 2

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Speaker: 
Martin Raum
Zugehörigkeit: 
ETH
Datum: 
Mit, 2013-05-29 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar 
We establish Kudla's modularity conjecture for the generating function 
of special cycles of codimension 2.  The proof is based on a 
convergence result for formal Fourier Jacobi expansions.  We define 
such expansions in some simple cases, and outline the approach taken to 
show that they always converge.  Finally, we showcase the connection to 
previous results by Zhang, which yields the desired proof of Kudla's 
conjecture.

Tea & Discussions

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Datum: 
Die, 2013-05-28 15:30 - 17:00
Location: 
MPIM Tea Room
Parent event: 
Mathematische Arbeitstagung 2013

Comparing symplectic and complex geometry

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Speaker: 
Dusa McDuff
Zugehörigkeit: 
Barnard College, Columbia University
Datum: 
Die, 2013-05-28 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Mathematische Arbeitstagung 2013

There are many deep connections between symplectic and complex geometry, ranging from the phenomena of mirror symmetry to consequences of the fact that a symplectic manifold is a flabby kind of Kähler manifold in which the complex structure has lost its integrability. This talk will explore the latter relationship, explaining, for example, how the infinite number of complex structures on the product of projective lines (the famous family of Hirzebruch surfaces) is reflected in the symplectic world.

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