Â鶹Éçmadou

About the lecture

Probabilistic Galois theory explores the arithmetic properties of random polynomials with integer coefficients, focusing on questions such as irreducibility and the structure of their Galois groups. Several natural models of randomness have been studied: the large box model, where the degree is fixed and the coefficients are chosen uniformly from a box of growing size; the large degree model, where the coefficients are independent and identically distributed (e.g., taking valuesÌý 0Ìý orÌý 1Ìý with equal probabilities) as the degree grows; and models inspired by discrete random matrix theory.

In recent years, there have been significant breakthroughs in understanding the behaviour of polynomials under each of these models. This talk will provide an overview of these developments, highlighting the exciting interplay between probability, algebra, and number theory. We assume no prior knowledge in Galois theory.

About the speaker

was appointed as a full professor in the School of Mathematical Sciences at Tel Aviv University, where he currently serves as Head of School. He held postdoctoral positions at the Hebrew University of Jerusalem and the University of Duisburg-Essen, and has held visiting positions at the Max Planck Institute for Mathematics in Bonn, Concordia University, and the University of Montreal, where he was also a Simons-CRM Scholar-in-Residence.

Lior Bary-Soroker's main research interests lie in number theory and Galois theory, with a particular focus on probabilistic Galois theory, random polynomials, Hilbert's irreducibility theorem, and the structure of absolute Galois groups. He also works on analogues of classical conjectures in number theory in the context of function fields.

He has been active in mentoring young mathematicians and organising international workshops and conferences in number theory and related areas.

Schedule

4-5±è³¾:ÌýPresentation by Prof.ÌýLior Bary-Soroker in Room 4082/3 of the Anita B. Lawrence Centre, Â鶹Éçmadou
5-7pm:ÌýNetworking reception with light refreshments and finger food inÌýRoom 3082, Anita B. Lawrence Centre, Â鶹Éçmadou

Venue

Please enter the Anita B. Lawrence Centre building via the Centre Wing or East Wing entrances of the School of Mathematics and Statistics (ref:Ìý).

*Please note that the School of Mathematics and Statistics is not accessible via the West Wing of the building.

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Frontiers in Fundamental Mathematics Research Nexus

This event is presented by the Â鶹Éçmadou School of Mathematics and Statistics and is part of ourÌýFrontiers in Fundamental Mathematics Research Nexus series, which aims to highlight fundamental research in the mathematical sciences, with an emphasis on the significance and impact of fundamental mathematics to a diverse range of areas within mathematics and beyond.
Learn more about the Nexus Program.