We will prove that Palais-Smale sequences for Liouville type functionals on closed surfaces are precompact whenever they satisfy a bound on their Morse index. As a byproduct, we will obtain a new proo...
Different interplays between different fields of Mathematics and different domains of Social Sciences The need for quantitative predictions in Social Sciences has very much increased in the last de...
Games, voting, networks, and numerous other topics have been explored by both mathematicians and economists, each employing their own language, methodologies, and theoretical frameworks. The purpose o...
In the past few decades the fractional Laplacian (−∆)s has capitalized the attention of the PDE community as an integrodifferential operator which is the nonlocal counterpart to the classical Laplacia...
The celebrated Osterwalder-Schrader (OS) reconstruction results provide conditions verified by Euclidean n-point correlation functions to produce a Wightman quantum field theory. This talk aims to sho...
The age of AI requires building capable and more efficient neural networks that are mainly achieved via (I) Developing and manufacturing more capable hardware; (II) Designing smaller and more robu...
The study of Diophantine equations is one of the oldest problems in mathematics, with many questions that remain open to this day. However, at the start of the 20th century, mathematicians began to re...
Nel seminario presenterò un lavoro in collaborazione con A. Höring e Z. Xie nel quale studiamo la congettura del cono relativa per famiglie di varietà K-triviali con irregolarità nulla. Dopo aver intr...
You've heard the buzz: AI and formalization will revolutionize mathematics. Computers will soon surpass humans in solving olympiad-style problems. Humans will transition from proving research-level t...
