Timetable, titles and abstracts
Schedule
Wednesday, March 11
10:00 - 10:10 Welcome Address by President of KIAS (Taewon Noh)
10:10 - 11:10 Hiraku Nakajima
11:10 - 11:30 coffee/tea break
11:30 - 12:30 Young-Hoon Kiem
12:30 - 14:30 lunch
14:30 - 15:30 Paolo Piccione
15:30 - 16:00 coffee/tea break
16:00 - 17:00 Tamar Ziegler
18:00 - 20:00 WELCOME DINNER for IMU EC, with KIAS president and faculty
Thursday, March 12
10:00 - 10:30 Youngmok Jeon
10:30 - 11:00 Sijong Kwak
11:00 - 11:30 coffee/tea break
11:30 - 12:30 Christoph Sorger
12:30 - 14:00 lunch
14:00 - 15:00 Kyeongsu Choi
15:00 - 15:30 coffee/tea break
15:30 - 16:30 Nalini Joshi
16:30 - 17:00 coffee/tea break
17:00 - 17:45 Jineon Baek
18:00 - 20:00 Banquet for all participants
Friday, March 13
10:00 - 11:00 Sang-hyun Kim
11:00 - 11:30 coffee/tea break
11:30 - 12:30 Hyun Kyu Kim
12:30 - 14:30 lunch
Titles and Abstracts
Hiraku Nakajima (Kavli IPMU, The University of Tokyo)
title : TBA
abstract :
TBA
Young-Hoon Kiem (Korea Institute for Advanced Study)
title : TBA
abstract :
TBA
Paolo Piccione (Great Bay University, China, and Universidade de São Paulo, Brazil)
title : Conformal Curvatures
abstract :
In this talk, I will give an overview of different ways to understand curvature. We will start with curves and surfaces in ordinary Euclidean space and then move to the general setting of Riemannian geometry. After that, we will look at conformal geometry, where only angles are preserved, and see how this changes the meaning of curvature. I will finish with a brief discussion of recent results related to Yamabe-type problems and what they tell us about curvature in the conformal setting.
Tamar Ziegler (Hebrew University)
title : TBA
abstract :
TBA
Youngmok Jeon (Ajou University)
title : KSIAM: The Host of ICIAM2031
abstract :
TBA
Sijong Kwak (Korea Advanced Institute of Science and Technology)
title : Korean Mathematics Ecosystem (한국 수학의 생태계)
abstract :
TBA
Christoph Sorger (Nantes Université)
title : TBA
abstract :
TBA
Kyeongsu Choi (Korea Institute for Advanced Study)
title : TBA
abstract :
TBA
Nalini Joshi (The University of Sydney)
title : TBA
abstract :
TBA
Jineon Baek (June E Huh Center for Mathematical Challenges, Korea Institute for Advanced Study)
title : TBA
abstract :
TBA
Sang-hyun Kim (Korea Institute for Advanced Study)
title : First order rigidity of manifold diffeomorphism groups
abstract :
Two groups are elementarily equivalent if they have the same sets of true first order group theoretic sentences. We prove that for two real numbers r,s ≥ 1, and for two smooth closed manifolds M and N, the C^r diffeomorphism group of M is elementarily equivalent to the C^s diffeomorphism group of N if and only if r=s and M is diffeomorphic to N. In the case of r=s=0, we can even weaken the hypothesis so that the manifolds are only assumed to be compact, dropping the smoothability or closedness hypotheses. This strengthens (1) Whittaker’s theorem (1963) concerned with group isomorphisms in the C^0 case, and (2) Takens--Filipkiewicz theorems (1982) concerned with group isomorphisms in the C^p case with an integer p. Joint work with Thomas Koberda (UVa) and Javier de la Nuez-Gonzalez (KIAS).
Hyun Kyu Kim (Korea Institute for Advanced Study)
title : Finding canonical bases of skein algebras
abstract :
We review the Kauffman bracket skein algebra of an oriented surface, which is a quantization of the SL2 character variety. We discuss several vector space bases of this algebra and investigate some remarkable phenomena and conjectures, in relation to various topics like quantum cluster varieties and representation theory.