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Upcoming Events

May
22
Date12:00 PM
Location
384H
Speaker
Shintaro Fushida-Hardy (Stanford)

In this interactive talk you will be introduced to pencil puzzles, which are types of logic puzzles that can be described and solved on paper. (The most famous examples being sudoku and slitherlink.) We will explore multiple different genres of puzzles, introduce some key logical ideas…

May
22
Date4:30 PM
Location
380Y
Speaker
Joshua Zahl (UBC)

Abstract: A Besicovitch set is a compact subset of R^n that contains a unit line segment pointing in every direction. The Kakeya set conjecture asserts that every Besicovitch set in R^n has Minkowski and Hausdorff dimension n. I will discuss some recent progress on this conjecture, leading to…

May
23
Date2:30 PM
Location
384I
Speaker
Ethan Lu (Stanford)

An overview of dissipation enhancement by mixing.

May
23
Date4:00 PM
Location
383N
Speaker
Ruochuan Xu (Stanford)

We study the renormalization group method and its applications in probability theory.

May
27
Date4:00 PM
Location
384H
Speaker
Christoph Kehle (MIT)

I will present upcoming work proving a forward energy cascade for quasilinear wave equations on Schwarzschild-AdS black hole exteriors. The cascade is driven by a stably trapped 3-mode interaction that transfers energy from low-to high-frequency modes. Our result is motivated by the question of…

May
27
Date4:00 PM
Location
383N
Speaker
Scotty Tilton, UCSD

Abstract: Exotic diffeomorphisms are those diffeomorphisms which are in the same path component as the identity of the homeomorphism group, but are not in the identity component in the diffeomorphism group. Several people have found the boundary Dehn twist is an exotic diffeomorphism…

May
28
Date1:00 PM
Location
383N
Speaker
Carlo Pagano (Concordia University)

Abstract:  A classical technique to upper bound ranks of elliptic curve is descent. The case of 2-descent, when studied for quadratic twist families of elliptic curves has attracted the attention of several authors, Heath-Brown, Friedlander--Iwaniec--Mazur--Rubin, Kane, Smith, among some of…

May
28
Date3:00 PM
Location
384H
Speaker
Xinyu Li (Stanford)

A refinement of the tropical limit (Section 2.5.8–9 of [IMS09])

May
28
Date3:15 PM
Location
383N
Speaker
Paul Minter (Stanford)

A key problem in geometric measure theory is to understand singularities in minimal surfaces when multiplicity occurs in the tangent cone. For questions concerning partial regularity, the primary situation to understand is that of a branch point, namely a (non-immersed) singular point where one…

May
29
Date3:00 PM
Location
384H
Speaker
Richard Stanley (MIT & Miami)

A theorem of MacMahon states that the number of partitions of n for which no part appears exactly once equals the number of partitions of n into parts ≡ 1 (mod 6). The key fact behind this identity is that the numerator and denominator of a certain rational function are products of cyclotomic…