EQUITOP IN ALGGEO
Equivariant topology in algebraic geometry
| Coordinatore | MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Organization address
address: REALTANODA STREET 13-15 contact info |
| Nazionalità Coordinatore | Hungary [HU] |
| Totale costo | 0 € |
| EC contributo | 78˙532 € |
| Programma | FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | FP7-PEOPLE-IEF-2008 |
| Funding Scheme | MC-IEF |
| Anno di inizio | 2009 |
| Periodo (anno-mese-giorno) | 2009-07-01 - 2010-06-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Organization address
address: REALTANODA STREET 13-15 contact info |
HU (Budapest) | coordinator | 78˙532.63 |
Mappa
Word cloud
Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.
Obiettivo del progetto (Objective)
'In physical sciences, a very challenging problem is the understanding of sudden changes caused by smooth alterations of parameters. For instance, water suddenly boils, or ice melts. The back of the camel breaks suddenly under a load of just one more straw. These abrupt changes are not only present in dynamical systems, but also in biology (e.g. population models, cell growth), and human society (e.g. stock markets). The proposer studies the mathematical theory of these phenomena, namely uses topological methods to understand how global topology forces singularities. The governing notion of global singularity theory is "Thom polynomial". The proposer has a strong research record on computing and applying Thom polynomials in various topological settings, eg. differentiable maps, forms, quivers, discriminants. The objective of the proposal is to support the proposer's career development by extending his expertise from {em topology} to modern geometry and related geometric and algebraic combinatorics. Visiting the Renyi Mathematical Institute in Budapest for a year, doing training and research under the supervision of A. Nemethi (scientist in charge) will significantly develop and widen the competences of the researcher. The equivariant techniques Rimanyi used in the theory of singularities is proposed to be applied in geometrically relevant situations. The two concrete proposed projects are the study of matroid versions of linear Gromov-Witten invariants, and the geometry of natural stratifications on punctual Hilbert schemes of high dimension spaces.'