Venue: Hörsaal 13 Ernst Melan - RPL, TU Wien, Karlsplatz 13, 1040 Vienna
TU Maps
Outbound trains Budapest Keleti --> Wien Hbf : 07:30 - 10:20 /// 08:30 - 11:20 /// 09:30 - 12:20
Title: CFT Perspectives on 2D Percolation
Abstract: Conformal field theory (CFT) has proven to be a powerful framework for studying two-dimensional (2D) Bernoulli percolation at criticality. Classic applications include the derivation of certain critical exponents and crossing probabilities. Yet, the precise nature of the underlying CFT remains elusive and is a subject of active investigation in both the mathematics and physics communities. In this talk, I will first provide an overview of this topic and then present recent progress.
Title: The Airy line ensemble at the rough-smooth boundary
Abstract: The two-periodic Aztec diamond is a random tiling model which features three macroscopic regions known as frozen, rough and smooth, which are each characterized by their decay of correlations. At the rough-smooth boundary, we report that the height function converges to an independent sum of the Airy surface and an i.i.d noise field, and that there is a family of (two-dimensional) lattice paths which converges to the Airy line ensemble. This talk is based on joint work with Duncan Dauvergne and Thomas Finn.
Title: Loop-soup and field stories
Abstract: I will discuss some recent and ongoing work about Brownian loop-soups and their relation to random fields.
Participants who wish to stay overnight in Vienna are kindly asked to make their own arrangements for accommodation.
1st: 2020-03-06: Budapest /// 2nd: 2020-09-22: Vienna (Zoom) /// 3rd: 2021-09-30: Budapest
4th: 2022-04-27 Vienna /// 5th: 2023-03-17: Budapest /// 6th: 2023-10-06: Vienna
7th: 2024-03-08: Budapest /// 8th: 2024-10-04: Vienna /// 9th: 2025-03-28: Budapest