Notiziario Scientifico

Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma

Settimana dal 13 al 19 giugno 2016


Lunedì 13 giugno 2016
Ore 14:30, aula di Consiglio
Seminario di Analisi Matematica
Olivier Ley (IRMAR, INSA Rennes)
Regularity results for integro-differential equations with coercive Hamiltonians
I will present some Holder and Lipschitz regularity results for nonlinear integro-differential elliptic and parabolic equations with coercive Hamiltonians. These estimates are obtained by using the Capuzzo Dolcetta-Leoni-Porretta (2010) approach for Holder estimates and the weak Bernstein method for Lipschitz estimates. Some applications to large time behavior of the evolution problem will be discussed. This is a joint work with Guy Barles (Tours), Shigeaki Koike (Tohoku) and Erwin Topp (Santiago).


Lunedì 13 giugno 2016
Ore 14:30, aula 211, Università di Roma Tre, l.go san L. Murialdo 1
Seminario di Geometria
Gabriele Di Cerbo (Columbia University)
Log Birational boundedness of Calabi-Yau pairs
I will discuss an ongoing joint work with Roberto Svaldi on boundedness of Calabi-Yau pairs. Recent works in the minimal model program suggest that pairs with trivial log canonical class should satisfy some boundedness properties. I will show that Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded, if the dimension is less than 4. In higher dimensions, the same statement can be deduced assuming the BAB conjecture. If time permits, I will discuss applications of this result to elliptically fibered Calabi-Yau manifolds.


Lunedì 13 giugno 2016
Ore 16:00, aula 1B1, dipartimento SBAI
Seminario
Nicolai Stammeier
Boundary quotients of right LCM semigroups
In recent work by Brownlowe-Ramagge-Robertson-Whittaker, a boundary quotient was introduced for right LCM semigroups. I will discuss how to improve its presentation for semigroups with the so-called accurate refinement property. This allows us to identify the boundary quotient with a familiar C*-algebra for many important examples. In particular, we get intriguing structural results for boundary quotients associated to integral dynamics, and injective group endomorphisms of discrete (abelian) groups (with finite cokernel).


Mercoledì 15 giugno 2016
Ore 14:30, aula Grassano, Università di Roma Tor Vergata
Colloquio
Marco Buongiorno Nardelli (University of North Texas)
High-throughput materials discovery and development: breakthroughs and challenges in the mapping of the materials genome


Giovedì 16 giugno 2016
Ore 11:00, aula 211, Università di Roma Tre, l.go san L. Murialdo 1
Discussione tesi di dottorato
Roberto Fringuelli (Università di Roma Tre)
The Picard group of the compactified universal vector bundle and a Franchetta conjecture for abelian varieties


Giovedì 16 giugno 2016
Ore 14:30, aula 211, Università di Roma Tre, l.go san L. Murialdo 1
Seminario di Geometria
Alexander Schmitt (Freie University)
Geometric invariant theory in products and applications
Let G be a reductive affine algebraic group over an algebraically closed field and V and W finite dimensional G-modules. These data induce a G-action on IP(V)xIP(W) and, for any pair (m,n) of positive integers, a linearization of this action in the very ample line bundle O(m,n). When the ratio n/m becomes sufficiently large, the GIT notion of (semi) stability with respect to the linearization in O(m,n) becomes independent of (m,n) and has a nice description. This elementary fact plays an important role in understanding semistability for decorated sheaves, e.g., quiver sheaves. We will firstly review these facts and give, as an application, a proof of the recent Hilbert-Mumford criterion of Gulbrandsen, Halle and Hulek in relative GIT when the base is of finite type.Secondly, we will explain a related result on the instability flag and review how this is applied to moduli problems.


Giovedì 16 giugno 2016
Ore 15:45, aula 211, Università di Roma Tre, l.go san L. Murialdo 1
Seminario di Geometria
Alexis Kouvidakis (University of Crete)
Maroni Divisors on Hurwitz Spaces
The moduli spaces H_{d,g} of covers of genus g and degree d of the projective line are known as Hurwitz spaces. We will discuss the Maroni stratification on such Hurwitz spaces. This stratification has a stratum that is a divisor only if d-1 divides g and we will approximate the class of this divisor in the compactified Hurwitz space. We will also construct an analogue of the above divisors on the Hurwitz spaces H_{d,g} for all pairs (d,g) with d less or equal than g, with a few exceptions. This is joint work with Gerard van der Geer.


Giovedì 16 giugno 2016
Ore 16:00, aula 4, Università UNINT, via C. Colombo 200
Seminario di Geometria
Anna Guerrieri (Università de L'Aquila)
Stime sulla dimensione proiettiva di ideali in anelli di polinomi: una rassegna



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