Video Lectures

In 1982, Ligeti wrote his Horn Trio, calling it a homage to Brahms. It was an important turning point in Ligeti’s musical style, when his modern­ist aesthetic shifted and he began to look back to the past. The superb Nunc Ensemble performed both the...

In 1982, Ligeti wrote his Horn Trio, calling it a homage to Brahms. It was an important turning point in Ligeti’s musical style, when his modern­ist aesthetic shifted and he began to look back to the past. The superb Nunc Ensemble performed both the...

The hyperbolic Ax Lindemann conjecture is a functional transcendental statement which describes the closure of "algebraic flows" on Shimura varieties. We will describe the proof of this conjecture and its consequences for the André-Oort conjecture...

In this talk I will explain how the heuristic arguments sketched in literature since 1999 fail to define a homology theory. These issues will be made clear with concrete examples and we will explore what stronger conditions are necessary to develop...

I will describe several properties (structural and/or computational) which are satisfied by random matrices almost surely, but for which we have no concrete examples of such matrices. My hope is that the audience will be intrigued and interested in...

I will present recent results on a non-relativistic Hamiltonian model of quantum friction, about the motion of an invading heavy tracer particle in a Bose gas exhibiting Bose Einstein condensate. We prove the following observations: if the initial...

In this lecture, Briony Fer, Professor of History of Art at University College London, will look at Malevich's systemic method, as it was elaborated in his work, writings, and teachings, and its ongoing relevance for subsequent generations of...

In this lecture, Briony Fer, Professor of History of Art at University College London, will look at Malevich's systemic method, as it was elaborated in his work, writings, and teachings, and its ongoing relevance for subsequent generations of...

We review some of the connections, established and expected between random matrix theory and Zeta functions. We also discuss briefly some recent Universality Conjectures connected with families of L-functions.

Expanders are highly connected sparse graphs. Simplicial complexes are a natural generalization of graphs to higher dimension, and the notions of connectedness and expansion turn out to have interesting analogues, which relate to the homology and...