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Abstracts for Quantum motives: realizations, detection, applications

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On extremalities in singularity theory

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

Fibrations represented by double divisors on the base space

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Speaker: 
Klaus Altmann
Affiliation: 
Berlin
Date: 
Mon, 2010-09-13 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.

Lunch

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Date: 
Mon, 2010-09-13 12:50 - 14:00
Parent event: 
Quantum motives: realizations, detection, applications

Quantum motives: realizations, detection, use.

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Speaker: 
Vasily Golyshev
Affiliation: 
Moscow
Date: 
Mon, 2010-09-13 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

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Speaker: 
Tom Coates
Affiliation: 
London
Date: 
Mon, 2010-09-13 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.

Institute Tea

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Date: 
Mon, 2010-09-13 16:00 - 16:30
Location: 
MPIM Tea Room
Parent event: 
Quantum motives: realizations, detection, applications

Gaps, spectra and applications

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Speaker: 
Ludmil Katzarkov
Affiliation: 
Miami/Vienna
Date: 
Mon, 2010-09-13 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

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

Quantum cohomology of minuscule type D Grassmannians

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Speaker: 
Andrew Kresch
Affiliation: 
Zurich
Date: 
Tue, 2010-09-14 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.

Lunch

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Date: 
Tue, 2010-09-14 12:50 - 14:00
Parent event: 
Quantum motives: realizations, detection, applications

 

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