Tuesday, July 8, 2025

2025-07-08 / 16:30 ~ 17:30

IBS-KAIST 세미나 - 이산수학: Phase transitions in a random subgraph of the hypercube

by Mihyun Kang(TU Graz)

We will discuss classical and recent results about phase transitions in random subgraphs of the hypercube and beyond. The focus will be on the giant component, long cycles, large matchings, and isoperimetric properties.

2025-07-09 / 16:30 ~ 17:30

학과 세미나/콜로퀴엄 - PDE 세미나:

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In this talk, we present the global well-posedness for the cubic nonlinear Schrödinger equation for periodic initial data in the mass-critical dimension $d=2$ for large initial data in $H^s,s>0$. The result is based on a new inverse Strichartz inequality, which is proved by using incidence geometry and additive combinatorics, in particular the inverse theorems for Gowers uniformity norms by Green-Tao-Ziegler. In addition, we construct an approximate periodic solution showing ill-behavior of the flow map at the $L^2$ regularity. This is based on joint works with Sebastian Herr.

2025-07-09 / 15:30 ~ 16:30

학과 세미나/콜로퀴엄 - PDE 세미나:

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In 2014, Bourgain and Demeter proved almost sharp decoupling inequalities for the paraboloid and the light cone, leading to various applications to the Schrodinger and the wave equations. I will explain some subsequent developments, including important contributions by Guth, Maldague and Wang, my joint work with Shaoming Guo, Zane Li and Pavel Zorin-Kranich, and joint work with Andrew Hassell, Pierre Portal and Jan Rozendaal.

Events for the 취소된 행사 포함