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Multilinear Kakeya and Michael-Simon inequality for anisotropic stationary varifolds

Michael Simon inequality is a fundamental tool in  geometric analysis and geometric measure theory.  Its extension to anisotropic integrands will allow to extend to anisotropic integrands a ...

Seminario di Dipartimento: Le prove scritte di matematica come pratica valutativa.

Abstract: Le prove scritte di matematica rappresentano uno strumento centrale nella valutazione scolastica e universitaria, tradizionalmente associato a funzioni di tipo sommativo. Tuttavia, la ricerc...

Reflective centers as categories of modules

Tensor categories (and their module categories) take center stage in many interactions between algebra and low-dimensional topology inspired by physics. If we are lucky enough, a useful tensor categor...

(Shifted Contact Structures on) Differentiable Stacks

Differentiable stacks are a class of singular spaces in differential geometry including orbifolds, leaf spaces of foliations and orbit spaces of Lie group actions. One possible definition is: a differ...

Incontro Scientifico UMI di Roma

Incontro organizzato nell'ambito degli "Incontri scientifici UMI 2025-2027", in collaborazione con il Dipartimento di Matematica Guido Castelnuovo dell'Università Sapienza di Roma. Programma: 15:10-1...

Numerical equivalence of R-divisors and Shioda-Tate formula for arithmetic varieties

Arakelov geometry offers a framework to develop an arithmetic counterpart of the usual intersection theory. In fact, for varieties defined over the ring of integers of a number field, and inspired by ...

Global positroid varieties

Positroid varieties are certain subvarieties of complex Grassmannians playing an important role in the theory of totally nonnegative Grassmannians. The positroid varieties can be defined in Lie theore...

IV Workshop UMI: Mathematics for Artificial Intelligence and Machine Learning

The workshop focuses on the interplay between mathematics, artificial intelligence and machine learning. The aim of the event is to encourage mathematical research in these areas, to promote the disse...

On the positivity of Ulrich bundles

We study the positivity properties of Ulrich bundles defined with respect to an ample and globally generated polarization. First we prove a generalization of a theorem by Lopez on the first Chern clas...

Singularities and generalized Hamiltonian gradient flow: From dynamics to transport

We will begin by reviewing classical results in the dynamics of Lagrangian flows, primarily within the framework of Aubry-Mather theory and weak KAM theory. From the perspective of transport, the regu...
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