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Entries for this week: 4

Tuesday January 20, 2026

- Rocio Diaz Martin, FSU
Time: 3:05PM Room: LOV 232

Wednesday January 21, 2026

Mathematics Colloquium [url]
Singularity analysis in mean curvature flow
- Wenkui Du, MIT
Time: 3:05 Room: Lov 101
Abstract/Desc: In this talk, I will discuss the singularity theory of mean curvature flow. As the most natural evolution equation in extrinsic geometry, mean curvature flow has striking applications in geometry, topology and image processing. A central challenge for these applications is understanding the structure of singularities. This talk surveys recent progress on the classification of singularity models of mean curvature flow and their applications. In particular, ancient noncollapsed solutions naturally arise when we consider blow-up limits near singularities. Several results about classification of ancient noncollapsed solutions will be presented. I will also mention my future plan of singularity analysis in geometric variational problems. The talk is based on my joint works with collaborators B. Choi, Daskalopoulos, Haslhofer, Sesum, Zhao and Zhu.

Thursday January 22, 2026

Financial Math
- Arash Fahim,
Time: 3.05 Room: LOV 231

Algebra seminar
Formal groups of elliptic curves
- Amod Agashe, FSU
Time: 3:05pm Room: LOV 232
Abstract/Desc: In this two talk series, we will start by recalling elliptic curves and give the explicit construction of the formal group associated to an elliptic curve. While the construction is explicit, it does not make it clear if the construction is a special case of something more general. We will then describe the formal group of a specific Lie group as motivation for the notion of a formal group, and show the analogy with the case of elliptic curves. After that (most likely in the second talk) we will describe the general abstract construction of the formal group associated to an algebraic group (which includes elliptic curves), and then explain how the explicit construction of the formal group of an elliptic curve described earlier is a special case of this more general construction. Finally, we will explain how a perhaps better way of looking at a formal group is via the formal group scheme associated to an elliptic curve. We will assume background in basic algebraic geometry (e.g., local rings of varieties), but nothing beyond that. The talk is mostly expository in nature, and there will be some interesting algebraic geometry during the talk.

Problems? Email webmaster@math.fsu.edu.

Department of Mathematics

This Week in Mathematics