VASUDEVAN SRINIVAS, School of Mathematics, Tata Institute of Fundamental Research, Mumbai ALGEBRAIC VERSUS TOPOLOGICAL ENTROPY FOR SURFACES OVER FINITE FIELDS Monday, December 09 2013, at 17:00 Dipartimento di Matematica, Università di Milano, Via Saldini |
|
|
|
NGÔ BẢO CHÂU, The University of Chicago ARITHMETIC OF SOME INTEGRABLE SYSTEM Monday, October 28 2013, at 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini | |
|
|
EDWARD WITTEN, Institute for Advanced Study, Princeton A NEW LOOK AT THE JONES POLYNOMIAL OF A KNOT Monday, October 14 2013, at 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini | |
|
|
STANISLAV SMIRNOV, Université de Genève 2D LATTICE MODELS AND CONFORMAL INVARIANCE Tuesday, September 17 2013, at 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini |
|
|
|
RICHARD VINTER, Imperial College London - Dept. of Electrical and Electronic Engineering OPTIMAL CONTROL OF SYSTEMS WITH TIME DELAY Monday, June 24 2013, at 14:00 precise Politecnico di Milano, Dipartimento di Matematica - Aula Seminari VI piano |
|
|
|
BERND STURMFELS, University of California Berkeley TROPICALIZATION OF CLASSICAL MODULI SPACES Monday, June 17 2013, at 17:00 Università degli Studi di Milano, Dipartimento di Matematica, Via Saldini |
|
|
Abstract
|
|
|
Algebraic geometry is the study of solutions sets to polynomial equations. Solutions that depend on an infinitesimal parameter are studied combinatorially by tropical geometry.
Tropicalization works especially well for varieties that are parametrized by monomials in linear forms. Many classical moduli spaces (for curves of low genus and few points in the plane) admit such a representation, and we here explore their tropical geometry.
Examples to be discussed include the Segre cubic, the Igusa quartic, the Burkhardt quartic, and moduli of marked del Pezzo surfaces.
Matroids, hyperplane arrangements, and Weyl groups play a prominent role. Our favorites are E6, E7 and G2.
|
|
|
|
|
|
|