Saturday, February 11, 2023

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2023-02-17 / 14:00 ~ 15:00
SAARC 세미나 - SAARC 세미나: 인쇄
by 신진우(KAIST AI대학원)
TBA
2023-02-17 / 10:00 ~ 11:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-16 / 14:00 ~ 15:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-16 / 10:00 ~ 11:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-15 / 14:00 ~ 15:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-15 / 10:00 ~ 11:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-14 / 16:15 ~ 17:45
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-13 / 16:00 ~ 17:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-13 / 14:00 ~ 15:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by 김완수(KAIST), 박철(UNIST)()
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-13 / 10:00 ~ 11:30
학과 세미나/콜로퀴엄 - 정수론: Introduction to Breuil-Kisin modules and application to Galois deformation theory 인쇄
by (김완수(KAIST), 박철(UNIST))
The aim of the lecture series is twofold: (1) give an overview of the “classical” theory of Breuil-Kisin modules, and (2) discuss its application to the construction of certain p-adic Galois deformation rings. In the first talk by Wansu Kim (Moday at 10am), we will give a general introduction to the p-adic Hodge theory (focusing on p-adic Galois representations). In the first half of the lecture series, Wansu Kim will explain the “classical” theory of Breuil-Kisin modules following the seminal paper of Kisin’s (Crystalline representations and F-crystals, from Drinfeld’s 50th birthday conference proceeding). In the second half of the lecture series, Chol Park will explain its application to the explicit computation of p-adic local Galois deformation rings cut out by certain p-adic Hodge-theoretic condition. Here is the time and venue for each talk: 13 Feb (Mon): 3 talks *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) 16:00 -17:30 at E6-1, Rm 3434 14 Feb (Tue): 1 talk *) 16:15 -17:45 at E6-1, Rm 3434 15 Feb (Wed) to 16 Feb (Thu): *) 10-11:30 & 14-15:30 at E6-1, Rm 1401 (최석정강의실) *) (TBD) 16:00 -17:30 at E6-1, Rm 3434 (in case we need extra lecture) 17 Feb (Fri) *) 10-11:30 at E6-1, Rm 3438 *) (TBD) 14-15:30 at E6-1, Rm 3438 (in case we need extra lecture)
2023-02-17 / 14:00 ~ 16:00
IBS-KAIST 세미나 - 수리생물학: 인쇄
by ()
In the context of science, the well-known adage “a picture is worth a thousand words” might well be “a model is worth a thousand datasets.” In this manuscript we introduce the SciML software ecosystem as a tool for mixing the information of physical laws and scientific models with data-driven machine learning approaches. We describe a mathematical object, which we denote universal differential equations (UDEs), as the unifying framework connecting the ecosystem. We show how a wide variety of applications, from automatically discovering biological mechanisms to solving high-dimensional Hamilton-Jacobi-Bellman equations, can be phrased and efficiently handled through the UDE formalism and its tooling. We demonstrate the generality of the software tooling to handle stochasticity, delays, and implicit constraints. This funnels the wide variety of SciML applications into a core set of training mechanisms which are highly optimized, stabilized for stiff equations, and compatible with distributed parallelism and GPU accelerators.
2023-02-14 / 16:30 ~ 17:30
IBS-KAIST 세미나 - 이산수학: Strengthening Hadwiger’s conjecture for 4- and 5-chromatic graphs 인쇄
by Raphael Steiner(ETH Zürich)
Hadwiger's famous coloring conjecture states that every t-chromatic graph contains a $K_t$-minor. Holroyd [Bull. London Math. Soc. 29, (1997), pp. 139-144] conjectured the following strengthening of Hadwiger's conjecture: If G is a t-chromatic graph and S⊆V(G) takes all colors in every t-coloring of G, then G contains a $K_t$-minor rooted at S. We prove this conjecture in the first open case of t=4. Notably, our result also directly implies a stronger version of Hadwiger's conjecture for 5-chromatic graphs as follows: Every 5-chromatic graph contains a $K_5$-minor with a singleton branch-set. In fact, in a 5-vertex-critical graph we may specify the singleton branch-set to be any vertex of the graph. Joint work with Anders Martinsson (ETH).
2023-02-14 / 10:30 ~ 11:30
SAARC 세미나 - SAARC 세미나: 인쇄
by 이진엽()
In this talk, we derive effective dynamics governed by PDEs (nonlinear Schrodinger equation, Vlasov-Poisson equation) from the N-body Schrödinger equation with interactions in the large N limit. For the derivation, we first visit quantum mechanics. Then, using the knowledge of many-body quantum mechanics given in the talk and with the suitable conditions for each situation, we derive PDEs describing the effective motion of the system.
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