4/11 Update: Event Cancelled! 6/11 Seminar Series: If something is almost true, is truth nearby?
Abstract of Andeas Thom lecture (German mathematician and a professor of Geometry at TU Dresden):
I will discuss the concept of stability in mathematics. If a set of equations is almost satisfied, is it true that a true solution to the equations exists nearby? For example, if two permutations of X commute on most of the points of X, are there permutations of X that agree with the given permutations on most of the points and do commute? If a function on a Banach space is almost linear, is it close to a linear map? These type of questions and some positive answers were first discussed by Stanislaw Ulam in 1940 und the name of „stability“ and come up naturally in a variety of situations ranging from functional analysis, group theory, to computer science. I will explain the background and discuss some recent progress in a variety of circumstances.
When? 6 November 2019, 4:30 PM
Where? Mendel Museum's Augustinian Abbey Refectory at Mendel Square