Prossimi Seminari

Martedì 26 Set ore 15:00
presso - Aula Da Stabilire -
seminario di algebra e geometria
Grassmannian geometry and Fano varieties of K3 type.
Enrico Fatighenti
Seminario riservato al gruppo di ricerca, prima parte. Subvarieties of Grassmannian (and especially Fano varieties) obtained from section of homogeneous vector bundles are far from being classified. A case of particular interest is given by the Fano varieties of K3 type, for their deep links with hyperk\"ahler geometry. In this talk we will give a survey of some recent techniques we developed to study the Hodge theory of this particular class of varieties, and we will present some new examples.
Giovedì 28 Set ore 15:00
presso - Aula Da Stabilire -
seminario di algebra e geometria
Grassmannian geometry and Fano varieties of K3 type.
Enrico Fatighenti
Seminario riservato al gruppo di ricerca, seconda parte. Subvarieties of Grassmannian (and especially Fano varieties) obtained from section of homogeneous vector bundles are far from being classified. A case of particular interest is given by the Fano varieties of K3 type, for their deep links with hyperk\"ahler geometry. In this talk we will give a survey of some recent techniques we developed to study the Hodge theory of this particular class of varieties, and we will present some new examples
Venerdì 29 Set ore 18:15
presso Aula Bombelli
nel ciclo di seminari
Complex Analysis Lab
Potential Theory on the bi-tree
Pavel Mozolyako
Martedì 03 Ott ore 10:00
presso Seminario II
seminario di analisi matematica
Singular differential operators with meromorphic eigenfunctions - part I
P.G. Grinevich
These two talks are based on joint works with S.P. Novikov and R.G. Novikov. Generically the spectral theory of differential operators with singular coefficients is badly defined. But following some ideas of soliton theory we consider a very special subclass of differential operators with meromoprphic coefficients such that: 1. In dimension 1 we assume that all eigenfunctions at all energy levels are meromorphic. 2. In dimension 2 we assume that at one energy level we have sufficiently many locally meromorphic solutions. We show that the spectral theory for such operators can be naturalyy defined, but the Hibert spaces of fucntions should be replaces by pseudo-Hilbert spaces of Potrjagin type. At the first talk we will focus on the 1-dimensinal case. In particular we show, that for such periodic operators the Bloch variety is well-defined. The second part will be dedicated to the 2-dimensional case.
Venerdì 06 Ott ore 15:00
presso Seminario II
seminario di analisi matematica
Singular differential operators with meromorphic eigenfunctions - part II
P.G. Grinevich
These two talks are based on joint works with S.P. Novikov and R.G. Novikov. Generically the spectral theory of differential operators with singular coefficients is badly defined. But following some ideas of soliton theory we consider a very special subclass of differential operators with meromoprphic coefficients such that: 1. In dimension 1 we assume that all eigenfunctions at all energy levels are meromorphic. 2. In dimension 2 we assume that at one energy level we have sufficiently many locally meromorphic solutions. We show that the spectral theory for such operators can be naturalyy defined, but the Hibert spaces of fucntions should be replaces by pseudo-Hilbert spaces of Potrjagin type. At the first talk we will focus on the 1-dimensinal case. In particular we show, that for such periodic operators the Bloch variety is well-defined. The second part will be dedicated to the 2-dimensional case.
Giovedì 12 Ott ore 18:00
presso - Aula Da Stabilire -
seminario di fisica matematica
The magic square
Alessio Marrano
Venerdì 13 Ott ore 10:00
presso Aula Seminario VIII piano
seminario di fisica matematica
Geometric construction of reduced phase space
Alberto Cattaneo
The reduced phase space of a field theory is the space of its possible initial conditions endowed with a natural symplectic structure. An alternative to Dirac’s method, relying on natural geometric aspects of variational problems, was introduced by Kijowski and Tulczijev. This method also has the advantage of having a natural generalization in the BV context. In this talk, I will explain the method and describe some examples, focusing in particular on the tetradic version of general relativity in four dimensions.
Venerdì 13 Ott ore 11:30
presso - Aula Da Stabilire -
seminario interdisciplinare
The magic star of exceptional periodicity
Piero Truini
present a periodic infinite chain of finite generalisations of the exceptional structures, including E8, the Exceptional Jordan Algebra (and Pair) and the Octonions.
Venerdì 13 Ott ore 15:30
presso Aula Seminario VIII piano
seminario interdisciplinare
From super Harish-Chandra pairs to Lie supergroups
Fabio Gavarini
I present a new method to associate a Lie supergroup with a super Harish-Chandra pairs (=sHCp's), which provides an equivalence of categories between sHCp's and Lie supergroups. Namely, I provide a (new) functorial construction that, with each (real or complex) super Harish-Chandra pair, associates a (real or complex) Lie supergroup: this functor is then proved to be a quasi-inverse to the natural functor from Lie supergroups (up to details) to super Harish-Chandra pairs, so the two yield equivalences between the corresponding categories. The existence of such equivalences was known (possibly in different contexts, such as the smooth or the complex analytic one), but the construction I present is actually new - I present a different quasi-inverse functor - as it follows a totally different, more geometrical method
Venerdì 13 Ott ore 16:30
presso Aula Seminario VIII piano
seminario di fisica matematica
Nilpotent orbit of real symmetric pair
Willem De Graaf
Let g = g0 ⊕ g1 be a Z/2Z-graded real semisimple Lie algebra. Then (g, g0) is called a real symmetric pair. An x ∈ g1 is called nilpotent if the adjoint map adx : g → g is nilpotent. We let G0 be a Lie group with Lie algebra g0 acting on g1. The problem is to determine the orbits of G0 on the set of nilpotent elements of g1. We wil show several algorithmic techniques that help with solving this problem. The methods will be illustrated in an example where g is the split real form of the Lie algebra of type D4, and the action of G0 on g1 is isomorphic to the action of SL(2, R) 4 on the tensor product of four copies of R 2 . The nilpotent orbits in this example are of interest in theoretical physics, in particular in the study of black holes. (This is joint work with Heiko Dietrich, Daniele Ruggeri, and Mario Trigiante.)
Mercoledì 22 Nov ore 14:30
presso Aula Cremona
seminario di probabilità
nel ciclo di seminari
Seminari di Probabilità
Probabilisti e statistici italiani del secolo scorso
Eugenio Regazzini
Il XX è stato, fra altre cose, anche il secolo della rinascita della probabilità e della statistica nelle comunità scientifiche più avanzate dell'occidente. Questo seminario si propone di illustrare il contributo degli italiani a tale processo, a partire dalle questioni che, polarizzando l'interesse di alcuni nostri studiosi di forte ingegno, portarono alla formulazione di teorie originali ed al conseguimento di pregevoli risultati destinati a durare nel tempo. Di essi si darà cenno, breve ma sperabilmente sufficiente a chiarirne valore e ruolo in relazione allo sviluppo generale delle scienze e dei metodi, insieme a qualche considerazione sulle caratteristiche umane e professionali degli Autori.