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Abstracts for MPI-Oberseminar

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q-series and quantum modular forms

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Speaker: 
Amanda Folsom
Affiliation: 
Yale Univ./MPI
Date: 
Thu, 2013-04-04 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

While the theory of mock modular forms has seen great advances in the last decade, questions remain. We revisit Ramanujan's last letter to Hardy, and prove one of his remaining conjectures as a special case of a more general result. Quantum modular forms, defined by Zagier, as well as Dyson's combinatorial rank function, the Andrews-Garvan crank function, and mock theta functions, all play key roles.

Invariants of Harish-Chandra Modules

Posted in
Speaker: 
Leticia Barchini
Affiliation: 
Oklahoma St. U/MPI
Date: 
Thu, 2013-04-11 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

The  distribution  character  is  a  complete  invariant  of  Harish-Chandra modules
(it determines the representation up to infinitesimal equivalence.)  It is very
difficult to compute.  There are other invariants, sometimes weaker, which
contain very important information about the representation. An example is
the associated cycle. In the first part of the talk I will introduce some such
invariants and explain relevant information encoded by them. The second part

New guests at the MPI

Posted in
Speaker: 
Fu-Tsun Wei, Mehdi Tavakol, Mark Powell
Date: 
Thu, 2013-04-18 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

A new (computer-friendly) approach to Morse--Novikov theory

Posted in
Speaker: 
Dan Burghelea
Affiliation: 
The Ohio St. U/MPI
Date: 
Thu, 2013-04-25 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

New guests at the MPIM

Posted in
Speaker: 
Ismael Souderes, Benjamin Cooper, Gaetan Borot
Date: 
Thu, 2013-05-02 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Multiple harmonic sums, multiple zeta values and other related values

Posted in
Speaker: 
Jianqiang Zhao
Affiliation: 
Eckerd College on Florida´s Gulf Coast/MPI
Date: 
Thu, 2013-05-16 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar 
In this talk I will survey the historical and recent development in the study of multiple harmonic sums, multiple zeta values and some other related values such as multiple zeta star values and their q-analogs, mainly from the number theory point of view. Starting with Euler's decomposition formula for double zeta values I will conclude with a sketch of the Two-one formula conjectured by Ohno and Zudilin when they were here at MPIM in 2007. Most part of the talk will be accessible to the general
audience.

Galois action on knots

Posted in
Speaker: 
Hidekazu Furusho
Affiliation: 
Nagoya U/MPI
Date: 
Thu, 2013-06-13 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

My talk  is on my attempt in arithmetic topology. I will discuss an
arithmetic structure on knots;
I will show that the absolute Galois group of the rational number
field acts non-trivially on 'the space of knots' in a non-trivial way.

New guests at the MPIM

Posted in
Speaker: 
Daniele Zuddas, Ilya Karzhemanov and Steffen Kionke
Date: 
Thu, 2013-06-20 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Witten deformation and analytic continuation

Posted in
Speaker: 
D. Burghelea
Affiliation: 
(The Ohio State U/MPI)
Date: 
Thu, 2013-06-27 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

The title of my talk should be: "Characteristic classes of singular toric varieties

Posted in
Speaker: 
L. Maxim
Date: 
Thu, 2013-07-11 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

I will discuss the computation of the homology Hirzebruch
characteristic classes of (possibly singular) toric varieties. I will
present two different perspectives for the computation of these
characteristic classes. First, by taking advantage of the torus-orbit
decomposition and the motivic properties of the homology Hirzebruch
classes, we express the latter in terms of the (dual) Todd classes of
closures of orbits. The obtained formula is then applied to  weighted
lattice point counting in lattice polytopes. Secondly, in the case of

 

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