Program

November 15, Friday

• 9:30 - Registration
• 9:55 - Opening Remark
• 10:00 - 10:40 Hansol Hong : Mirror construction via Lagrangian Floer theory
• 10:50 - 11:30 Ziyu Zhang : Smooth components of some moduli spaces
• 11:40 - 12:20 Won-Yong Shin : Learning from Uncertainty: Graph Recovery Meets Community Recovery
• 12:20 - 2:00 LUNCH BREAK
• 2:00 - 2:40 Brian Weber : Geometric collapsing and solution spaces of some nonlinear ellliptic PDE
• 2:50 - 3:30 Young-Pil Choi: A hydrodynamic model for synchronization phenomena

In this talk, I will present a new hydrodynamic model for synchronization phenomena which is a type of pressureless Euler system with nonlocal interaction forces. For the proposed system, we first establish local-in-time existence and uniqueness of classical solutions. For the case of identical natural frequencies, we provide synchronization estimates under suitable assumptions on the initial configurations. We also analyze critical thresholds leading to finite-time blow-up or global-in-time existence of classical solutions. Finally, we numerically investigate synchronization, finite-time blow-up, phase transitions, and hysteresis phenomena.

• 3:40 - 4:20 Daniel Skodlerack : Cuspidal representations of quaternionic forms of p-adic classical groups
• 4:30 - 5:10 Sung Rak Choi : Positivity of divisors via Okounkov bodies

November 16, Saturday

-Posters will be displayed on this date.

• 10:00 - 10:20 Hyunsoo Cho - The disparity of self-conjugate partitions and its application
• 10:20 - 10:40 Ho Young Song - TBA

• 10:50 - 11:10 Daewon Lee - Mori dream spaces that are P^2 blown up at points on a conic or a cubic.
• 11:10 - 11:30 Yong-min Shin - Introduction to Deep Learning on Graphs: Network Embedding in Incomplete Graphs

• 11:40 - 12:00 Ji Min Lee - Learning to trade in financial time series through wavelet transformation and deep reinforcement learning
• 12:00 - 12:20 Minsoo Kim - Object Detection and Yolo
• 12:20 - 14:00 LUNCH
• 14:00 - 17:00 Discussion

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Posters

Dongha Kim: Spectral properties of layer potentials arising from comductivity problems in composite media

Sungwook Jang: Sarkisov Program