Time: 16:15-17:45

Location: Mondi 3

Speaker 1: Daniel Beďatš
Title: Organizing the Zoo of Subatomic Particles

Abstract: In 1950s, experimental physicists went on a streak of discovering a lot of new proton-like particles with no obvious organization among them. Using representation theory of the group SU(3), Murray Gell-Mann developed the theory of quarks and organized the particle zoo into what later became the Standard Model. He received his Nobel Prize in 1969.

I will introduce basic notions in representation theory leading to a dictionary between subatomic particles and representations of SU(3). If time permits, we will also discuss a few 3D printed models illustrating recent developments in the field.

Speaker 2: Vova Riabov (Erdös group)
Title: Self-improving bounds and pulling oneself by the bootstraps

Abstract: Bootstrapping is an umbrella term that describes a variety of mathematical techniques driven by a common philosophy: one can prove better estimates having only bad estimates as an input, provided the quantity of interest satisfies certain constraint equations (or symmetries). In other words, the estimate improves itself, hence the name. For a widely known example, think of Grönwall's inequality.

In this talk, I would like to share with you some implementations of bootstrapping techniques, both in a deterministic and a stochastic setting, that we – random matrix people – use on a day-to-day basis.