Home

Abstracts for Quantum motives: realizations, detection, applications

Alternatively have a look at the program.

On extremalities in singularity theory

Posted in
Speaker: 
Duco van Straten
Affiliation: 
Mainz
Date: 
Mon, 13/09/2010 - 11:00 - 11:50
Parent event: 
Quantum motives: realizations, detection, applications

Fibrations represented by double divisors on the base space

Posted in
Speaker: 
Klaus Altmann
Affiliation: 
Berlin
Date: 
Mon, 13/09/2010 - 12:00 - 12:50
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

In two different situations we describe fibrations via divisors on the base space with rather unusual coefficients: First, branched coverings X -> P1 that are the quotient of the action of a finite group A can be encoded by a degree zero divisor on P1 with coefficients in A.
Second, degenerate toric fibrations X -> Y with generic fiber F = TV(sigma) (the toric variety associated to a cone sigma) correspond to a divisor on Y with coefficients being polyhedra in the space N of one-parameter subgroups of the torus.

Quantum motives: realizations, detection, use.

Posted in
Speaker: 
Vasily Golyshev
Affiliation: 
Moscow
Date: 
Mon, 13/09/2010 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

We review the classical idea of how to linearize algebraic geometry with an eye to utilizing it in the quantum setup.

Minkowski Polynomials and Fano Manifolds

Posted in
Speaker: 
Tom Coates
Affiliation: 
London
Date: 
Mon, 13/09/2010 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

We report on a number of computer experiments, joint work in progress with Alessio Corti, Sergei Galkin, Vasily Golyshev, Al Kasprzyk, concerning Laurent polynomials of low ramification and Fano 3-folds.

Gaps, spectra and applications

Posted in
Speaker: 
Ludmil Katzarkov
Affiliation: 
Miami/Vienna
Date: 
Mon, 13/09/2010 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

In this talk we will introduce the notion of gaps of spectra of categories and we will consider some applications to birational geometry and theory of algebraic cycles. Examples will be considered.

Introduction to the Satake correspondence

Posted in
Speaker: 
Vasily Golyshev
Date: 
Tue, 14/09/2010 - 11:00 - 11:50
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

Quantum cohomology of minuscule type D Grassmannians

Posted in
Speaker: 
Andrew Kresch
Affiliation: 
Zurich
Date: 
Tue, 14/09/2010 - 12:00 - 12:50
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

Among all type $D$ Grassmannians $O(m,2n)$, the minuscule ones ($m=1$ and $m=n$) have quantum cohomology rings that are easiest to understand. We recall the basic structure results (ring presentation, Pieri and Giambelli formulas) and contrast them with the corresponding results
for non-minuscule type $D$ Grassmannians as well as (co)minuscule homogeneous varieties of other Lie types.

Quantum Satake for minuscule spaces

Posted in
Speaker: 
Laurent Manivel
Affiliation: 
Grenoble
Date: 
Tue, 14/09/2010 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

Schubert calculus and singularity theory

Posted in
Speaker: 
Vassily Gorbounov, Victor Petrov
Affiliation: 
Aberdeen, Bonn
Date: 
Tue, 14/09/2010 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

TBA

Posted in
Speaker: 
n.n.
Date: 
Tue, 14/09/2010 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Quantum motives: realizations, detection, applications

 

... back to parent event

LaTeX version

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A