Abstracts for Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

Alternatively have a look at the program.

BPS invariants of the projective plane and modular forms

Posted in

Talk

Speaker:

Jan Manschot

Affiliation:

MPI

Date:

Wed, 09/11/2011 - 15:45 - 16:45

Location:

MPIM Lecture Hall

Parent event:

Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

BPS invariants capture topological invariants of moduli spaces of
sheaves. After a brief review of BPS invariants of vector bundles over
curves, I'll discuss generating functions of BPS invariants of semi-stable
sheaves on the projective plane and its blow-up. These generating functions
transform as (mock) modular forms, which is a manifestation of the physical
electric-magnetic duality.

Refined holomorphic anomaly equations and motivic Donaldson Thomas invariants

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Talk

Speaker:

Albrecht Klemm

Organiser(s):

Location: Seminarraum S194, Triforum, Innere Kanalstr. 15, Köln

Affiliation:

U Bonn

Date:

Fri, 25/11/2011 - 14:00 - 15:00

Parent event:

Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

Website: http://www.mi.uni-koeln.de/~bkane/seminars/physics/
Location: Seminarraum S194, Triforum, Innere Kanalstr. 15, Köln

Jacobi forms, mock Jacobi forms, and applications

Posted in

Talk

Speaker:

Don Zagier

Affiliation:

MPI

Date:

Wed, 07/12/2011 - 15:45 - 16:45

Location:

MPIM Lecture Hall

Parent event:

Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

Locally harmonic Maass forms and rational period functions // Place: Triforum S194, Cologne

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Talk

Speaker:

Ben Kane

Organiser(s):

Place: Triforum S194, Cologne

Affiliation:

Cologne

Date:

Fri, 16/12/2011 - 14:00 - 15:00

Parent event:

Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

Place: Triforum S194, Cologne
Website: http://www.mi.uni-koeln.de/~bkane/seminars/physics/

24 faces of the Borcherds modular form $\Phi_{12}$

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Talk

Speaker:

Valery Gritsenko

Affiliation:

Lille

Date:

Wed, 11/01/2012 - 15:45 - 16:45

Location:

MPIM Lecture Hall

Parent event:

Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

Refined curve counting on algebraic surfaces

Posted in

Talk

Speaker:

Lothar Göttsche

Affiliation:

ICTP & MPIM

Date:

Fri, 27/01/2012 - 14:00 - 15:00

Location:

Köln University, Triforum, S194

Parent event:

Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

http://www.mi.uni-koeln.de/~bkane/seminars/physics/

Kac–Wakimoto characters and almost holomorphic modular forms

Posted in

Talk

Speaker:

Kathrin Bringmann (Köln)

Date:

Wed, 08/02/2012 - 13:45 - 14:45

Location:

MPIM Lecture Hall

Parent event:

Bonn-Köln Oberseminar Zahlentheorie und Physik (Number Theory and Physics Seminar)

In joint work with Amanda Folsom, we resolve a question of Kac, and explain the automorphic properties of certain characters due to Kac and Wakimoto. We prove that they are essentially holomorphic parts of certain generalizations of harmonic weak Maass forms which we call ``almost harmonic Maass forms". Loosely speaking, such functions may be viewed as sums of harmonic weak Maass forms under iterates of the raising operator (themselves therefore non-harmonic weak Maass forms), multiplied by almost holomorphic modular forms.