- 8th September
Note: We first meet at 1:50 PM in the classroom for course introduction, followed by a talk from 2 PM to 3 PM. The talk does not count towards the "N" in the grading formula, but attendance will be taken for reference.
Speaker: Prof. Daniel Spector (National Taiwan Normal University)
Title: Moses in the age of AI
Abstract: The use of large language models has changed the world we live in, from communicating in different languages to student use in homework. Recently it has proved to be effective on research level mathematics problems. In this talk, I will discuss the role of the researcher/professor in this newly emerging world.
- 15th September
Note: We meet from 2 PM to 3 PM as usual. Each session is 30 min and together count as one talk, you need to attend both sessions for this week attendance.
Speakers: Prof. Ping-Hsuan Tsai (NYCU) and Prof. Harry Richman (NYCU)
Title: Self-introduction from the new faculty members
- 22nd September
Speaker: Prof. Zih-Yin Chen (National Taiwan University)
Title: A Particle-scale understanding of the collapse of a granular raft
Abstract: Fluid-fluid interfaces laden with discrete particles behave like continuous elastic sheets, leading to their applications in emulsion and foam stabilization. Although current continuum models can qualitatively describe the elastic buckling of granular particle-laden interfaces—often referred to as granular rafts—under compression, the connection between their macroscopic collective properties and the microscopic behavior of individual particles remains unclear. Here, by combining systematic experiments with first-principle modeling, we aim to reveal how the macroscopic mechanical properties of particle rafts emerge from particle-scale interactions and predict the failure modes of a granular raft under compression. Our study highlights the dual nature of particle rafts and exemplifies how collective dynamics can arise from discrete components with simple interactions.
- 29th September
Note: We meet from 1:20 PM to 3:10 PM. Each talk counts as 1 in the "N" above.
Speaker: Prof. Farbod Shokrieh (University of Washington)
Title: Graphs in algebraic and arithmetic geometry
Abstract: Graphs can be viewed as (non-archimedean) analogs of Riemann surfaces. For example, there is a notion of Jacobians for graphs. More classically, graphs can be viewed as electrical networks. I will explain the interplay between these points of view and some recent applications in algebraic and arithmetic geometry.
Speaker: Prof. Jing Huang (University of Victoria)
Title: On graphs which are locally complete 2-edge-colourable
Abstract: A 2-edge-colouring of a graph G is called locally complete if for each vertex v, the vertices adjacent to v through edges of the same colour induce a complete subgraph in G. Contreras-Balbuena et al characterized locally complete 2-edge-coloured graphs which have alternating Hamiltonian cycles.
Chvátal and Sbihi proved that graphs which are locally complete 2-edge-colourable are one of two types of claw-free perfect graphs indecomposable via clique-cutsets. Maffray and Reed gave a forbidden subgraph characterization of these graphs.
We compare locally complete 2-edge-colourable graphs with proper interval graphs and proper circular-arc graphs. We characterize proper interval graphs and proper circular-arc graphs which are locally complete 2-edge-colourable by forbidden subgraphs.
This is a joint work with Jørgen Bang-Jensen.
- 6th October Introduction to Library Service
- 13th October
Speaker: Prof. Donggyu Kim (Hanyang University)
Title: TBA
Abstract: TBA
- 20th October
- 27th October
Speaker: Prof. Wai-Kit Lam (National Taiwan University)
Title: TBA
Abstract: TBA
- 3rd November
Speaker: Prof. Yen-Chi Lee (National Central University)
Title: TBA
Abstract: TBA
- 10th November No colloquium
- 17th November
Speaker: Prof. Spencer Backman (University of Vermont)
Title: TBA
Abstract: TBA
- 24th November
- 1st December Counseling seminar
- 8th December
- 15th December
- 22nd December Final week, no colloquium