AbstractAccelerated by the ever-growing power of computers, computational materials science has underpinned materials modeling and simulation. Many ingredients in this field, from both electronic structure and atomistic levels, can be (re)formulated into optimization problems. Numerous optimization approaches have been constantly emerging, unleashing their exceptional efficiency, robustness, an...
Abstract:I shall discuss my recent work showing that the Bogomolov-Tschinkel universality conjecture holds if and only if the mapping class groups of a punctured surface is large (which is essentially the negation of the Ivanov conjecture about the mapping class groups). I will also discuss my recent work with O. Tosic regarding the closely related Putman-Wieland conjecture.Prizes and Distinct...