EQUITOP IN ALGGEO

Equivariant topology in algebraic geometry

 Coordinatore MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET 

 Organization address address: REALTANODA STREET 13-15
city: Budapest
postcode: 1053

contact info
Titolo: Prof.
Nome: Andras
Cognome: Nemethi
Email: send email
Telefono: 0036 1 4838320

 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

# participant  country  role  EC contrib. [€] 
1    MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET

 Organization address address: REALTANODA STREET 13-15
city: Budapest
postcode: 1053

contact info
Titolo: Prof.
Nome: Andras
Cognome: Nemethi
Email: send email
Telefono: 0036 1 4838320

HU (Budapest) coordinator 78˙532.63

Mappa


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suddenly    topological    singularities    mathematical    theory    global    topology    proposer    thom    geometry   

 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.'

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