Seminar in June 2021

Time: 10th June (Thursday) 11:00 – 12:00
Speaker: Dr. Seongmin Jeon (KTH Royal Institute of Technology)
Place: #746, Natural Science Building, Hanyang University

Title : Almost minimizers for the thin obstacle problem

We consider Anzellotti-type almost minimizers for the thin obstacle (or Signorini) problem with zero thin obstacle. We discuss the regularity of the almost minimizers, as well as the regularity and structure of their free boundaries. The analysis of the free boundary is based on a successful adaptation of energy methods such as a one-parameter family of Weiss-type monotonicity formulas, Almgren-type frequency formula, and the epiperimetric and logarithmic epiperimetric inequalities for the solutions of the thin obstacle problem. This is joint work with Arshak Petrosyan.

Time: 24th June (Thursday) 15:00 – 16:00
Speaker: Prof. Hyungjin Huh (Chung-Ang University)
Place: #746, Natural Science Building, Hanyang University

Title : Gradient flows related with $\alpha$-energy problem

We address a system of ODEs which is related with a particle system whose dynamics is governed by a gradient flow on the unit sphere associated with the $\alpha$ energy interaction potential between positions of all particles measured by a weighted distance $ |x_i -x_k |^{2\alpha + 2}$ for any $\alpha \neq -1$ and $\log |x_i -x_k |^2$ for $\alpha = -1$. Here we are interested in the repulsive coupling to study the equilibrium states and their stability. We mainly consider several case studies to obtain the qualitative insight.

HY-PDE workshop 2021

Date: May 26th(Wednesday) – 28th(Friday)

김승혁 Seunghyeok Kim, 박진영 Jinyeong Park

The workshop will be held online via zoom. If you want to attend the workshop, please contact the organizers.



Program(title and abstract)

May 26th(Wed) May 27th(Thu) May 28th(Fri)
10:00 – 10:30 고동남 (가톨릭대) 정진욱 (서울대) 김유찬 (서울시립대)
10:35 – 11:05 최경수 (KIAS) 윤석배 (성균관대) 문병수 (인천대)
11:10 – 11:40 정인지 (서울대) 강문진 (KAIST) 서이혁 (성균관대)
13:30 – 14:00 배한택 (UNIST) 최종근 (부산대) 곽철광 (이화여대)
14:05 – 14:35 이태훈 (KIAS) 김도현 (성신여대) 석진명 (경기대)
Coffee break
14:55 – 15:25 최범준 (KIAS) 최영필 (연세대) 옥지훈 (서강대)
15:30 – 16:00 배기찬 (서울대) 심우주 (서울대) 진상돈 (중앙대)



Intensive lectures on conformal field theory

We have the following lectures via google meet.

Title: Gaussian free field, conformal field theory, and SLE
May 10th (Monday) 11:00 – 12:00
May 11th (Tuesday) 11:00 – 12:00
May 12th (Wednesday) 11:00 – 12:00
May 13th (Thursday) 11:00 – 12:00
May 14th (Friday) 11:00 – 12:00
May 17th (Monday) 11:00 – 12:00
May 18th (Tuesday) 11:00 – 12:00

Speaker: Prof. Nam-Gyu Kang (KIAS)
In these lectures, I give an elementary introduction to conformal field theory in the context of probability theory and complex analysis. I consider statistical fields and define Ward functionals in terms of their Lie derivatives. Based on this approach, I explain some equations of conformal field theory and outline their relation to SLE theory.