Past Events

Let ord p ( a ) be the order of a in ( Z / p Z ) ∗ . In 1927, Artin conjectured that the set of primes p for which an integer a ≠ − 1 , ◻ is a primitive root (i.e. ord p ( a ) = p − 1 ) has a positive asymptotic density among all primes. In 1967...

Lots of problems in combinatorics and analysis are connected to upper bounds for incidences: given a set of points and tubes, how much can they intersect? This talk is about lower bounds for incidences, a topic that has received much less attention...

For a finite connected graph, the following objects have the same cardinality: the set of spanning trees, the Jacobian group, the set of equivalence classes of orientations up to cycle-cocycle reversal, the set of break divisors, the set of reduced...

Cell movement requires long-range coordination of the cytoskeletal machinery that organizes cell morphogenesis. We have found that reciprocal interactions between biochemical signals and physical forces enable this long-range signal integration...

q-analogues of quantities in mathematics involve perturbations of classical quantities using the parameter q, and revert to the original quantities when q goes 1. A notable example is the q-analogues of binomial coefficients, denoted by {n \choose k}...

Recent interactions between probability and number theory proved fruitful. In particular, random multiplicative functions (RMFs) are random models for partial sums of the Möbius function and Dirichlet characters, which are related to L-functions like...

Instructors: Julien Arino, University of Manitoba, Canada Stefania Lisai , University of St Andrews, United Kingdom Frank Ball, University of Nottingham, United Kingdom John MacKenzie, University of Strathclyde, United Kingdom Rachel Bearon, King’s...

Reduced density matrix theories offer a promising tool to circumvent the exponential scaling of the N-fermion Hilbert space with the system size and it is conceptually well-suited to describe strongly correlated many-particle systems, a central...

This talk will cover the existence of a third solution through the Mountain Pass Lemma when the boundary data of the problem decreases below a threshold value. Meanwhile, an evolutionary perspective of the stability-instability of a solution of the...

Within the Langlands program, the theory of endoscopy concerns the transfer of distributions between a reductive group G and G′, an endoscopic group of G. At the heart of Langlands' original study on Beyond Endoscopy is the notion of stable transfer...