Sixth Meeting for Young Mathematicians in Segovia

Schedule and Courses

SCHEDULE

COURSES

Course 1: Mapping classes and monodromy.
Norbert A'Campo (Universität Basel)

We plan to give courses about the mapping class group M_{g,r}, about the classification of mapping classes and about representations of the mapping class group, with some applications to monodromy.

Course 2: Homological Algebra of Gorenstein Singularities.
Ragnar-Olaf Buchweitz (University of Toronto)

We intend to cover (most of) the following topics.
Lecture 1: Matrix factorizations and determinantal representations of hypersurfaces; discriminants in versal deformations of isolated complete intersection singularities; free divisors arising from deformations; deformation-theoretic approach to the classfication problem.
Lecture 2: Can one factor the adjoint of the generic determinant?
Lecture 3: The stable category of matrix factorizations and maximal Cohen Macaulay modules over Gorenstein singularities: Complete resolutions, Tate extensions and cohomology; Serre duality and trace in the isolated case.
Lecture 4: Examples and applications.

Course 3: Algebraic curves and their combinatorics.
Pierrette Cassou-Noguès (Université de Bordeaux I)

This course will deal with the combinatorial aspects of plane algebraic curves. Some background on algebraic curves will be needed.
A good reference is the book of CTC Wall.

Course 4: Zeta functions and exponential sums: homological and geometric methods.
Antonio Rojas León (Universidad de Sevilla)

In this course we will discuss some methods (mostly l-adic cohomology) used to study zeta functions of varieties over finite fields and
L-functions of exponential sums. We will also introduce some recent generalizations of these functions, and study their relationship with
other branches of mathematics (geometry, singularities, representation theory...). We will describe both classical and recent resuts on the topic.

MATHEMATICAL DISCUSSIONS
A free space to discuss your own work, anything arising from the courses or simply share ideas! You can prepare a poster or a talk.

Monday 20:00-20:30
Martin Kreidl (U. Düsseldorf),
"Affine grassmanians in equal and unequal characteristics"

Tuesday 13:15-13:45
Dmitry Kerner (Ben-Gurion University),
"On some generalizations of Newton non-degeneracy"

Tuesday 20:00-20:30
Nicolás Libedinsky (U. Paris 12),
"Soergel bimodules"

Wednesday 13:15-13:45
Denis Ibadula (U. Ovidius Constanta),
"Isomorphic forms and their Igusa local Igusa zeta function"

Thursday 13:15-13:45
Oscar Fernández Ramos (U. Valladolid),
"On betti diagrams of edge ideals"

Thursday 20:00-20:15
Collin Roberts (U. Waterloo),
"The multiplicative structure of Hochschild cohomology for complete intersections"

Thursday 20:15-20:30
Maciej Borodzik (U. Warsaw),
"Finding Puisseux expansion of a curve in parametric form"

Friday 13:15-13:45
Alberto Castaño (U. Sevilla),
"An invitation to p-adic deRahm cohomology"