Monday, April 1, 2024

<< >>  
2024. 3
Sun Mon Tue Wed Thu Fri Sat
1 2
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31
2024. 4
Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30
2024. 5
Sun Mon Tue Wed Thu Fri Sat
1 2 3 4
5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30 31
2024-04-03 / 17:00 ~ 17:50
학과 세미나/콜로퀴엄 - 대수기하학: 인쇄
by ()
In this talk, we consider some polynomials which define Gaussian Graphical models in algebraic statistics. First, we briefly introduce background materials and some preliminary on this topic. Next, we regard a conjecture due to Sturmfels and Uhler concerning generation of the prime ideal of the variety associated to the Gaussian graphical model of any cycle graph and explain how to prove it. We also report a result on linear syzygies of any model coming from block graphs. The former work was done jointly with A. Conner and M. Michalek and the latter with J. Choe.
2024-04-03 / 16:00 ~ 16:50
학과 세미나/콜로퀴엄 - 대수기하학: 인쇄
by ()
One of the classical and most fascinating problems at the intersection between combinatorics and number theory is the study of the parity of the partition function. Even though p(n) in widely believed to be equidistributed modulo 2, progress in the area has proven exceptionally hard. The best results available today, obtained incrementally over several decades by Serre, Soundarajan, Ono and many otehrs, do not even guarantee that, asymptotically, p(n) is odd for /sqrt{x} values of n/neq x, In this talk, we present a new, general conjectural framework that naturally places the parity of p(n) into the much broader, number-theoretic context of eta-eqotients. We discuss the history of this problem as well as recent progress on our "master conjecture," which includes novel results on multi-and regular partitions. We then show how seemingly unrelated classes of eta-equotients carry surprising (and surprisingly deep) connections modulo 2 to the partition function. One instance is the following striking result: If any t-multiparition function, with t/neq 0(mod 3), is odd with positive density, then so is p(n). (Note that proving either fact unconditionally seems entirely out of reach with current methods.) Throughout this talk, we will give a sense of the many interesting mathematical techniques that come into play in this area. They will include a variety of algebraic and combinatorial ideas, as well as tools from modular forms and number theory.
2024-04-08 / 16:00 ~ 17:00
학과 세미나/콜로퀴엄 - 위상수학 세미나: 인쇄
by 강성경()
Using the invariant splitting principle, we construct an infinite family of exotic pairs of contractible 4-manifolds which survive one stabilization. We argue that some of them are potential candidates for surviving two stabilizations.
2024-04-01 / 16:00 ~ 17:00
학과 세미나/콜로퀴엄 - 위상수학 세미나: 인쇄
by 강성경()
We introduce bordered Floer theory and its involutive version, as well as their applications to knot complements. We will sketch the proof that invariant splittings of CFK and those of CFD correspond to each other under the Lipshitz-Ozsvath-Thurston correspondence, via invariant splitting principle, which is an ongoing work with Gary Guth.
2024-04-05 / 17:00 ~ 18:00
편미분방정식 통합연구실 세미나 - 편미분방정식: Convex integration and applications to PDEs II 인쇄
by 김성학(경북대학교)
In the second talk of the series, we exhibit several examples of application of convex integration to important PDE problems. In particular, we shall sketch some ideas of proof such as in the p-Laplace equation and its parabolic analogue, Euler-Lagrange equation of a polyconvex energy, gradient flow of a polyconvex energy and polyconvex elastodynamics.
2024-04-05 / 16:00 ~ 17:00
편미분방정식 통합연구실 세미나 - 편미분방정식: Convex integration and applications to PDEs I 인쇄
by 김성학(경북대학교)
We begin the first talk by introducing the concept of an h-principle that is mostly accessible through the two important methods. One of the methods is the convex integration that was successfully used by Mueller and Sverak and has been applied to many important PDEs. The other is the so-called Baire category method that was mainly studied by Dacorogna and Marcellini. We compare these methods in applying to a toy example.
2024-04-04 / 11:50 ~ 12:40
대학원생 세미나 - 대학원생 세미나: The Asymptotic Iteration Method and Hanh Difference Equations 인쇄
by Lucas MacQuarrie(KAIST, IBS 의생명 수학 그룹)
TBA
2024-04-05 / 11:00 ~ 12:00
IBS-KAIST 세미나 - 수리생물학: 인쇄
by ()

2024-04-04 / 16:15 ~ 17:15
학과 세미나/콜로퀴엄 - 콜로퀴엄: 인쇄
by ()
After a brief review of the history, some applications of these models will be reviewed. This will include descriptions of rogue waves, tsunami propagation, internal waves and blood flow. Some of the theory emanaging from these applications will then be sketched.
2024-04-05 / 14:00 ~ 16:00
학과 세미나/콜로퀴엄 - 기타: Introduction to complex algebraic geometry and Hodge theory #3 인쇄
by 김재홍(KAIST)
This is part of an informal seminar series to be given by Mr. Jaehong Kim, who has been studying the book "Hodge theory and Complex Algebraic Geometry Vol 1 by Claire Voisin" for a few months. There will be 6-8 seminars during Spring 2024, and it will summarize about 70-80% of the book.
2024-04-02 / 16:30 ~ 17:30
IBS-KAIST 세미나 - 이산수학: On graphs without cycles of length 0 modulo 4 인쇄
by Casey Tompkins(Alfréd Rényi Institute of Mathematics)
Bollobás proved that for every $k$ and $\ell$ such that $k\mathbb{Z}+\ell$ contains an even number, an $n$-vertex graph containing no cycle of length $\ell \bmod k$ can contain at most a linear number of edges. The precise (or asymptotic) value of the maximum number of edges in such a graph is known for very few pairs $\ell$ and $k$. We precisely determine the maximum number of edges in a graph containing no cycle of length $0 \bmod 4$. This is joint work with Ervin Győri, Binlong Li, Nika Salia, Kitti Varga and Manran Zhu.
Events for the 취소된 행사 포함 모두인쇄
export to Google calendar  .ics download