CATEGORIES: Colloquia, Math

Mathematics Colloquium – Dr. Carl Wang-Erickson

Eisenstein congruences and arithmetic We will begin with two disparate and highly influential questions in arithmetic. For what odd primes p is it straightforward to prove that the Fermat equation xp + yp = zp has no non-trivial solutions among the rational numbers? And considering all possible elliptic curve equations, one particular example being y2 … Continue reading Mathematics Colloquium – Dr. Carl Wang-Erickson

Tuesday, January 22, 4:10-5:00pm | 196 Carver
CATEGORIES: Colloquia, Math

Mathematics Colloquium – Dr. Rohit Nagpal

Finiteness properties of the Steinberg representation We will show that the Steinberg modules for the general linear groups form a Koszul monoid in an appropriate symmetric monoidal category. Using this we will find bounds on the codimension-one cohomology of level-3 congruence subgroups. This Koszulness result can also be used to show Ash–Putman–Sam homological vanishing theorem … Continue reading Mathematics Colloquium – Dr. Rohit Nagpal

Wednesday, January 23, 4:10-5:00pm | 196 Carver
CATEGORIES: Colloquia, Math

Mathematics Colloquium – Dr. Gabriel Conant

Arithmetic regularity with forbidden bipartite configurations Szemeredi’s regularity lemma is a fundamental result in graph theory, which says that sufficiently large finite graphs can be partitioned into a small number of pieces so that the edges between most pairs of pieces are randomly distributed. In other words, the regularity lemma processes finite graphs into ingredients … Continue reading Mathematics Colloquium – Dr. Gabriel Conant

Thursday, January 31, 4:10-5:00pm | 196 Carver Hall
CATEGORIES: Colloquia, Math

Mathematics Colloquium – Dr. Patricia Alonso Ruiz

Diffusion processes on rough spaces and random geometric models Mathematical models in physics, biology, engineering, material sciences and social media, are usually developed to understand structures and phenomena of high complexity. The more realistic a model is, the more “roughness” we expect to find. Introducing randomness allows us to treat richer, more complicated situations. In … Continue reading Mathematics Colloquium – Dr. Patricia Alonso Ruiz

Tuesday, February 5, 4:10-5:00pm | 196 Carver Hall
CATEGORIES: Colloquia, Math

Mathematics Colloquium – Dr. Konstantin Slutsky

Orbit equivalences of Borel flows We provide an overview of the orbit equivalence theory of Borel flows. In general, an orbit equivalence of two group actions is a bijective map between phase spaces that maps orbits onto orbits. Such maps are often further required to posses regularity properties depending on the category of group actions … Continue reading Mathematics Colloquium – Dr. Konstantin Slutsky

Monday, March 4, 4:10-5:00pm | 268 Carver