Joint IAS/Princeton University Number Theory Seminar

Topic: Motivic action on coherent cohomology of Hilbert modular varieties
Speaker: Aleksander Horawa
Affiliation: University of Michigan
Date: February 03, 2022

A surprising property of the cohomology…

Here I try four more problems that require one to find invariants. I have a bit of luck -- sometimes I make guesses that work when they might easily not have worked. But I also think the problems are amongst the easier ones on the list I am working through…

I’ve just uploaded to the arXiv my preprint “Perfectly packing a square by squares of nearly harmonic sidelength”. This paper concerns a variant of an old problem of Meir and Mose…

Joint IAS/Princeton University Symplectic Geometry Seminar

Topic: Poincare duality for loop spaces
Speaker: Kai Cieliebak
Affiliation: Augsburg University; Member, School of Mathematics
Date: February 07, 2022

Let $G$ and $H$ be two groups, and $f$ a map from $G$ to $H$ ($\forall g\in G \Rightarrow f(g)\in H$). Then $f$ is a homomorphism if $\forall g_1,g_2\in G \Rightarrow f(g_1g_2)=f(g_1)f(g_2)$.
This ...

To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.

IAS High Energy Theory Seminar

Topic: Scattering Amplitudes in Gauge Theory as Chiral Algebra Correlators
Speaker: Kevin Costello
Affiliation: Perimeter Institute
Date: February 07, 2022

I will report on my recent work with Natalie Paquette, where we derive…

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

Topic: Higher algebra of A-infinity algebras in Morse theory
Speaker: Thibaut Mazuir
Affiliation: University of Paris
January 28, 2022

In this short talk, I will introduce the notion…

An important informal idea in additive combinatorics is that of a "structured" set. One example of a class of sets that are rich in additive structure is the class of Bohr sets, which play the role in general finite Abelian groups that subspaces play in the…

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Here I solve three more questions from the first chapter of the book Problem-Solving Strategies by Arthur Engel. The questions are as follows. (The wording is exactly as in the book -- it is a little strange in places but I clarify it while doing the problems.)…

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Mathematician Emily Riehl finds deep and useful connections among objects that don't exist yet are everywhere.

Roth's theorem, one of the fundamental results of additive combinatorics, states that for every positive δ and every positive integer k there exists a positive integer n such that every subset of {1,2,...,n} of size at least δn contains an arithmetic progression…

[Note: while I am chair of the ICM Structure Committee, this blog post is not an official request from this committee, as events are still moving too rapidly to proceed at present via normal commit…

The Heidelberg Laureate Forum Foundation presents the HLF Portraits: Sir W. Timothy Gowers; Fields Medal, 1998

Recipients of the the Abel Prize, the ACM A.M. Turing Award, the ACM Prize in Computing, the Fields Medal and the Nevanlinna Prize in discussion…

Computer Science/Discrete Mathematics Seminar II

Topic: Derandomization and its connections throughout complexity theory
Speaker: Liije Chen
Affiliation: Massachusetts Institute of Technology
Date: February 22, 2022

This is the second talk in a three-part…

Ukrainian mathematician Svitlana Mayboroda was initially undecided on her career path. She had every intention of going into business until an opportunity presented itself to attend a mathematics graduate program in the United States.

The choice for Svitlana…