Month: October 2022

The 13th KMGS will be held on November 3rd, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Seonghyuk Im (임성혁) from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] Seonghyuk Im (임성혁) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Jaehoon Kim (김재훈 교수님)
[Title] Large clique subdivisions in graphs without small dense subgraphs
[Discipline] Combinatorics
[Abstract] In extremal graph theory, one big question is finding a condition of the number of edges that guarantees the existence of a particular substructure in a graph. In the first half of this talk, I’ll talk about the history of such problems, especially focusing on clique subdivisions. In the last half of the talk, I’ll introduce my recent result with Jaehoon Kim, Younjin Kim, and Hong Liu, which states that if a graph G has no dense small subgraph, then G has a clique subdivision of size almost linear in its average degree and discuss some applications and further open questions. 
[Language] Korean (English if it is requested)

The 12th KMGS will be held on October 6th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Juhun Baik (백주헌) from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] Juhun Baik (백주헌) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Hyungryul Baik (백형렬 교수님)
[Title] Shift locus of cubic polynomial
[Discipline] Topology
[Abstract]This talk is about the complex dynamics, which cares the iteration of holomorphic map (usually a rational map on the Riemann sphere), and the shift locus is a nice set of polynomials that all critical points escape to infinity under iteration.Understanding the shape and topology of shift locus is a challenge for decades, and accumulated works are done by Blanchard, Branner, Hubbard, Keen, McMullen, and recently Calegari introduce a nice lamination model.In this talk I will explain the basic complex dynamics and introduce the topology of the shift locus of cubic polynomials done by Calegari’s paper ‘Sausages and Butcher paper’ and if time allows, I will end this talk with the connection to the Big mapping class group, the MCG of Sphere – Cantor set.
[Language] Korean (English if it is requested)