Friday, June 16, 2023

2023-06-20 / 11:00 ~ 12:00

SAARC 세미나 - SAARC 세미나:

by 박민재()

A meandric system of size n is the set of loops formed from two arc diagrams (non-crossing perfect matchings) on {1,⋯,2n}, one drawn above the real line and the other below the real line. Equivalently, a meandric system is a coupled collection of meanders of total size n. I will discuss a conjecture which describes the large-scale geometry of a uniformly sampled meandric system of size n in terms of Liouville quantum gravity (LQG) decorated by certain Schramm-Loewner evolution (SLE) type curves. I will then present several rigorous results which are consistent with this conjecture. In particular, a uniform meandric system admits macroscopic loops; and the half-plane version of the meandric system has no infinite paths. Based on joint work with Jacopo Borga and Ewain Gwynne.

2023-06-20 / 16:30 ~ 17:30

IBS-KAIST 세미나 - 이산수학: Embeddings in uniformly dense hypergraphs

by Guanghui Wang(Shandong University)

An archetype problem in extremal combinatorics is to study the structure of subgraphs appearing in different classes of (hyper)graphs. We will focus on such embedding problems in uniformly dense hypergraphs. In precise, we will mention the uniform Turan density of some hypergraphs.

2023-06-19 / 16:30 ~ 17:30

학과 세미나/콜로퀴엄 - 계산수학 세미나:

by 박종호 박사()

In this talk, we explore a duality between federated learning and subspace correction, which are concepts from two very different fields. Federated learning is a paradigm of supervised machine learning in which data is decentralized into a number of clients and each client updates a local correction of a global model independently via the local data. Subspace correction is an abstraction of general iterative algorithms such as multigrid and domain decomposition methods for solving scientific problems numerically. Based on the duality between federated learning and subspace correction, we propose a novel federated learning algorithm called DualFL (Dualized Federated Learning). DualFL is the first federated learning algorithm that achieves communication acceleration, even when the cost function is either nonsmooth or non-strongly convex.

2023-06-20 / 14:00 ~ 15:00

대학원생 세미나 - 대학원생 세미나: 해외 수학과 포닥 지원 및 생활 후기

by 홍혁표 / 김대욱(KAIST / University of Michigan, Ann Arbor)

한국의 수학과 박사과정 학생이 해외로 포닥을 지원하는 방법, 그리고 2년간의 포닥 생활 후기에 대해 발표합니다. 포닥 지원 시기와 절차는 어떤지, 포닥 지원을 위한 CV, 추천서, research statement, teaching statement 등을 어떻게 준비하는 지 설명드립니다. 해외 정착, 기존 연구 마무리 및 포닥으로서의 새로운 연구 시작 방법에 대해 설명드립니다. 이 발표는 University of Wisconsin, Madison의 Van Vleck assistant professor 오퍼를 받은 홍혁표 학생과 University of Michigan, Ann Arbor에서 2년간 James Van Loo assistant professor로 근무한 김대욱 박사가 진행합니다. We will present on how a doctoral student in the field of mathematics in Korea can apply for a postdoctoral position abroad and share the experience of living as a postdoc for two years. We will explain the timing and procedures for applying for a postdoc position, as well as how to prepare a CV, recommendation letters, research statement, teaching statement, and other documents required for the application. Also, we will provide information on how to settle down in a foreign country, wrap up existing research, and start new research as a postdoc. This presentation will be conducted by Hyukpyo Hong, a student who recently received an offer for the Van Vleck Assistant Professor position at the University of Wisconsin, Madison, and Dr. Dae Wook Kim, who worked as a James Van Loo Assistant Professor at the University of Michigan, Ann Arbor for two years.

2023-06-21 / 14:00 ~ 15:30

학과 세미나/콜로퀴엄 - 정수론:

by 김찬호()

We discuss an explicit formula for the structure of Bloch–Kato Selmer groups of the central critical twist of modular forms if the analytic rank is ≤ 1 or the Iwasawa main conjecture localized at the augmentation ideal holds. This formula reveals more refined arithmetic information than the p-part of the Tamagawa number conjecture for motives of modular forms and reduces the corresponding Beilinson–Bloch–Kato conjecture to a purely analytic statement. Our formula is insensitive to the local behavior at p.

2023-06-23 / 16:00 ~ 18:00

학과 세미나/콜로퀴엄 - 위상수학 세미나:

by ()

We introduce configurations of lines in the combinatorial and geometric setting. After a brief summary of the classical theory we will discuss results in the 4-dimensional setting. These include work of Ruberman and Starkston in the topological category and work in progress in the smooth category that is joint work with D. McCoy And J. Park.

Events for the 취소된 행사 포함