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SCIENTIFIC MATHEMATICAL MEETING 2007
March 16, 2007
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- 9:30-10:00 Opening session
Vincenzo MILANESI (Rector of the University of Padua)
Alberto FACCHINI (Head of the Department of Pure and Applied Mathematics)
- 10:00-11:00 Antonio AMBROSETTI, (SISSA, Trieste, Italy)
"Critical Point theory and nonlinear problems"
We will survey some old and new theoretical achievements in Critical point theory and their motivations. Recent applications to Nonlinear elliptic partial differential equations will also be discussed.
- 11:00-11:30 coffee break
- 11:30:12:30 François LOESER, (Ecole Normale Supérieure, Paris, France)
"From counting points to motivic integration: the geometry behind computing integrals"
In the last twenty years, integration over non archimedean
valued fields have shown to have some striking geometric consequences.
We intend to survey some of these and also to give the flavor of some more recent developments.
- 12:30-13:00 Congratulations to the winner of the
Young researchers in Mathematics competition
and short talk by the latter.
- 15:00-16:00 Alberto BRESSAN, (Penn State University, USA)
"On the optimal harvesting of marine resources"
We consider a variational problem of optimal fish
harvesting, in a one- or two-dimensional domain.
The mathematical model is described by a nonlinear elliptic equation,
where the controls act on the source terms.
In general, optimal controls can be singular, i.e.
they are not functions but Radon measures.
Existence results, optimality conditions, connections with the theory
of impulsive control, and open problems will be discussd.
- 16:00-17:00 Claus Michael RINGEL, (University of Bielefeld, Germany)
"Tilting Theory - the Art of Losing Modules"
Tilting theory is a handy tool in order to compare different
module categories (or, more generally, abelian categories which arise in
algebra and geometry): the categories are chopped into parts, some
parts are suitably rearranged, whereas other parts may be lost.
Actually, in many situations one is happy about the loss and usually
does not try to recover the missing parts. Some examples will be
presented, mainly categories of representations of finite-dimensional
(associative) algebras.
- 17:00-17:30 coffee break
- 17:30-18:30 Wolfgang Johann RUNGGALDIER, (University of Padua, Italy)
"Contagious default: application of methods of Statistical Mechanics in Finance"
Firms may default and thus not be able to honor their financial obligations. Default is in general contagious (infectious). Its study is therefore important for an institution holding a credit portfolio of a large number of defaultable firms.
Interacting particle methods turn out to be a convenient tool to deal with these phenomena. We shall study limit distributions when the number of firms goes to infinity as well as their approximations when the number of firms is finite but large. This allows to explain various phenomena like default clustering and, in general, it allows to view a credit crisis as a microeconomic phenomenon driven by endogenous financial indicators.
For organizational reasons, those who intend to participate at the meeting are asked to send a confirmatory e-mail to the Secretary.
People who would like to take part in the
dinner with the speakers are asked to contact the
Secretary before March 2.
 dmpa07@math.unipd.it
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