### Spring 2018 Minerva Foundation Lectures

“We will present an elementary problem and a conjecture regarding percolation on planar graphs suggested by assuming quasi invariance of percolation crossing probabilities under coarse conformal uniformization.”

**Probability on groups, a bird eye survey and open problems**

“I will review the state of the art in percolation on groups and related topics.”

### Spring 2018 Kolchin Lecture

“Just over 50 years ago the modern era of Set Theory began with Cohen’s discovery of the method of forcing and his proof of the independence of the Continuum Hypothesis from the ZFC axioms of Set Theory. 25 years before Cohen’s discovery of forcing, Gödel discovered the Constructible Universe of Sets and defined the axiom “V = L” which is the axiom that asserts that every set is constructible. This axiom implies the Continuum Hypothesis and more importantly, Cohen’s method of forcing cannot be used in the context of the axiom “V = L”.

However the axiom “V = L” must be rejected since it limits the fundamental nature of infinity. In particular the axiom refutes (most) strong axioms of infinity.

A key question emerges. Is there an “ultimate” version of Gödel’s constructible universe yielding an axiom “V = Ultimate L” which retains the power of the axiom “V = L” for resolving questions like that of the Continuum Hypothesis, which is also immune against Cohen’s method of forcing, and yet which does not refute strong axioms of infinity?

Until recently there seemed to be a number of convincing arguments as to why no such ultimate L can possibly exist. But the situation is now changed.”

### Transport and localization in random media: theory and applications

This workshop will present recent developments on wave propagation, scattering and diffusion in random medias at the interface of probability theory, mathematical physics and PDEs. Accessible lectures by leading mathematicians will catalyze interactions among both junior and senior researchers in fundamental and applied fields.

May 1 – 3, 2018

http://www.ki-net.umd.edu/content/conf?event_id=843

Organizers: Ivan Corwin, Alexis Drouot, Hao Shen, Michael I. Weinstein

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