2026년 3월 QSMS Monthly Seminar
- Date: Mar 37th (Fri) 14:00 ~ 17:00
- Place: 129-101 (SNU)
- Contents:
Speaker: 유화종 (서울대)
Title: Kernels of Eisenstein primes
Abstract: Let $\ell$ be a prime at least 5 and $N$ a squarefree integer not divisible by $\ell$. A foundational result due to Mazur states that if $N$ is a prime, the kernel of an Eisenstein prime containing $\ell$ on modular Jacobian $J_0(N)$ is always two-dimensional. In this talk, we explore the breakdown of this behavior for composite levels. Under a mild assumption, we compute the dimension of this kernel and explicitly determine its structure. This is joint work with Ken Ribet.
Speaker: 홍한솔 (연세대)
Title: From Fukaya Algebras to Local Mirrors via Koszul Duality
Abstract: I apply Koszul duality to the Fukaya A-infinity algebra of a compact Lagrangian $L$ to study questions in mirror symmetry. The focus is on a localized mirror constructed intrinsically from the Floer theory of $L$. We look for conditions under which this local mirror can be globalized to recover the full mirror.