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# Documents  14G17 | enregistrements trouvés : 9

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## Surveys on recent developments in algebraic geometry :bootcamp for the 2015 summer research institute on algebraic geometrySalt Lake City # July 6-10, 2015 Coskun, Izzet ; de Fernex, Tommaso ; Gibney, Angela | American Mathematical Society 2017

Congrès

- x; 370 p.
ISBN 978-1-4704-3557-8

Proceedings of symposia in pure mathematics , 0095

Localisation : Collection 1er étage

géométrie algébrique # programme du modèle minimal # variété abélienne # théorie de Gromov-Witten # dynamique de Teichmüller # catégorie dérivée # structure de Hodge # théorie de Boij-Söderberg # homotopie

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## Schubert varieties, equivariant cohomology and characteristic classes : IMPANGA 15.Selected papers of the Impanga seminar : Bedlewo # April 12-18, 2015and notes from the major lecture series of the seminar in the period 2010-2015. A tribute to Friedrich Hirzebruch Buczynski, Jaroslaw ; Michalek, Mateusz ; Postinghel, Elisa | European Mathematical Society 2018

Congrès

- vi; 348 p.
ISBN 978-3-03719-182-8

EMS series of congress reports

Localisation : Colloque 1er étage (BEDL)

Friedrich Hirzebruch # variété de Schubert # géométrie algébrique

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## The characteristic cycle and the singular support of an étale sheaf Saito, Takeshi | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry;Number Theory

We define the characteristic cycle of an étale sheaf on a smooth variety of arbitrary dimension in positive characteristic using the singular support, constructed by Beilinson very recently. The characteristic cycle satisfies a Milnor formula for vanishing cycles and an index formula for the Euler-Poincaré characteristic.

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## Fourier-Mukai partners of canonical covers in positive characteristic Tirabassi, Sofia | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

We show that surfaces arising as canonical covers of Enriques and bielliptic surfaces do not have any non-trivial Fourier-Mukai partner, extending result of Sosna for complex surfaces. This is a joint work with K. Honigs and L. Lombardi.

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## Fano fibrations in positive characteristic Fanelli, Andrea | CIRM H

Multi angle

Research talks

In this talk, starting from the perspective of characteristic zero, I will discuss pathologies for the generic fibre of Fano fibrations in characteristic p.
The new approach of the joint project with Stefan Schröer has two goals:
- controlling these pathological phenomena; and
- describing new examples.
I'm going to focus on dimension 3, motivated by the recent progress in Mori theory in positive characteristic.

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## Differential descent obstructions Voloch, José Felipe | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry;Number Theory

We will discuss a new obstruction to the existence of rational and integral points on algebraic varieties over function fields obtained by considering covers described by differential equations.

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## Crystalline cohomology, period maps, and applications to K3 surfaces Liedtke, Christian | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

I will first introduce K3 surfaces and determine their algebraic deRham cohomology. Next, we will see that crystalline cohomology (no prior knowledge assumed) is the "right" replacement for singular cohomology in positive characteristic. Then, we will look at one particular class of K3 surfaces more closely, namely, supersingular K3 surfaces. These have Picard rank 22 (note: in characteristic zero, at most rank 20 is possible) and form 9-dimensional moduli spaces. For supersingular K3 surfaces, we will see that there exists a period map and a Torelli theorem in terms of crystalline cohomology. As an application of the crystalline Torelli theorem, we will show that a K3 surface is supersingular if and only if it is unirational. I will first introduce K3 surfaces and determine their algebraic deRham cohomology. Next, we will see that crystalline cohomology (no prior knowledge assumed) is the "right" replacement for singular cohomology in positive characteristic. Then, we will look at one particular class of K3 surfaces more closely, namely, supersingular K3 surfaces. These have Picard rank 22 (note: in characteristic zero, at most rank 20 is possible) and form ...

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## $D$-modules and $p$-curvatures Esnault, Hélène | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

We show relations between rigidity of connections in characteristic 0 and nilpotency of their $p$-curvatures (a consequence of a conjecture by Simpson and of a generalization of Grothendieck's $p$-curvature conjecture).
Work in progress with Michael Groechenig.

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## Voevodsky motives and $\imath$dh-descent Kelly, Shane | Société Mathématique de France 2017

Ouvrage

- 125 p.
ISBN 978-2-85629-861-9

Astérisque , 0391

Localisation : Périodique 1er étage

motif mixte # topologie de Grothendieck # altération # filtration par tranche # groupe de Chow supérieur

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Ressources Electroniques (Depuis le CIRM)

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