Leçon inaugurale de Timothy Gowers prononcée le 21 janvier 2021.
Timothy Gowers est professeur du Collège de France et titulaire de la chaire Combinatoire.

Domaine un peu paradoxal, la combinatoire se présente comme à la fois simple et complexe, pauvre et…

Kawamata showed the derived category of coherent sheaves on a smooth projective toric variety has a full exceptional collection consisting of sheaves. I was wondering if it is know whether every sm...

Asgar Jamneshan, Or Shalom, and myself have just uploaded to the arXiv our preprint “The structure of arbitrary Conze–Lesigne systems”. As the title suggests, this paper is devote…

In the mathematical field of representation theory, a Kazhdan–Lusztig polynomial is a member of a family of integral polynomials introduced by David Kazhdan and George Lusztig (1979). They are indexed by pairs of elements y, w of a Coxeter group W, which…

A lo mejor estás planteándote estudiar matemáticas o a lo mejor simplemente tienes curiosidad por saber en qué consiste la carrera, y claro, no te vas a hacer toda la carrera solo para ver qué se estudia ahí. Además, no en todos los sitios se estudia lo mismo.…

This lecture is the first lecture of my Berkeley math 115 course "Introduction to number theory"
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8

This lecture gives a survey of some of the…

This is an introductory video to a 16-hour course on additive combinatorics given as part of Cambridge's Part III mathematics course in the academic year 2021-2. After a few remarks about practicalities, I informally discuss a few open problems, and attempt…

2007 Clay Research Conference

Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

Agustin Moreno, Member in the School of Mathematics, is exploring a restricted case of the three-body problem—a concept that considers the complex motion of three masses under the influence of a force such as gravity.

As a mathematician, Agustin is no stranger…

Arithmetic GroupsTopic: Grothendieck Pairs and Profinite RigiditySpeaker: Martin BridsonAffiliation: Oxford UniversityDate: January 26, 2022If a monomorphism...

Here we give an introduction to the historical development of group theory, hopefully accessible even to those who have not studied group theory before, showing how in the 19th century the subject evolved from its origins in number theory and algebra to embracing…

Let f be a polynomial of degree d in n variables over a finite field 𝔽. The polynomial is said to be unbiased if the distribution of f(x) for a uniform inpu...

MIT senior David Darrow loves to use math as a way to explore the world around him. His other passions are language — he has studied German, Russian, French, and Spanish at the Institute — and mentoring young mathematicians.

In this video I try out another idea for solving a question I failed to solve in the previous video of the series. That doesn't immediately solve the problem. However, I accidentally received a hint from a comment on the previous video, so I try that out…

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Topic: Geometry and topology of Hamiltonian Floer complexes in low-dimension
Speaker: Dustin Connery-Grigg
Affiliation: Université de Montreal
Date: January 28, 2022

In this talk,…