Previous Conferences & Workshops
Quadratic Characters With Non-Negative Partial Sums
Kannan Soundararajan
Are there infintely many quadratic characters (for instance, the
Legendre symbol mod p) for which the partial sums are always
non-negative? Although only 0% of characters can have this
property, numerical work (most recently by Kalmynin)
suggests...
1:00pm|Simonyi 101 and Remote Access
Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd
Sturmfels
This event aimed to foster collaboration between mathematicians
and physicists. The focus was on the intersection of combinatorial
geometry and fundamental physics, covering...
Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd
Sturmfels
This event aimed to foster collaboration between mathematicians
and physicists. The focus was on the intersection of combinatorial
geometry and fundamental physics, covering...
Spanning Trees of Simple Planar Graphs
Alex Kontorovich
We prove the exponential growth of the cardinality of the set of
numbers of spanning trees in simple planar graphs on n vertices,
answering a question from 1969. The proof uses a connection with
continued fractions and advances towards Zaremba’s...
2:30pm|Simonyi Hall 101 and Remote Access
The Asymptotic Mean Action and the Asymptotic Linking Number For Pseudo-Rotations
Abror Pirnapasov
1:00pm|Simonyi 101 and Remote Access
By the Birkhoff Ergodic Theorem, the asymptotic mean action of
an area-preserving map is defined almost everywhere. Bramham and
Zhang asked whether, if a map is a pseudo-rotation, its asymptotic
mean action is defined everywhere and is constant. In...
Quadratic Stability of the Brunn-Minkowski Inequality
10:30am|Simonyi 101 and Remote Access
The Brunn-Minkowski inequality is a fundamental result in convex
geometry controlling the volume of the sum of subsets of
$\mathbb{R}^n$. It asserts that for sets $A,B\subset
\mathbb{R}^n$ of equal volume and a parameter $t\in(0,1)$, we have
$|tA+...
