[Topology.beta] FW: DDT&G seminar @Amsterdam on 28 March: Mélanie Theillière

[Rot, T.O. (Thomas)]

Dear all,

Next week there is no CTAAAG, but there is a DDT&G at the VU. Please let your students know as well.

Best,
Thomas

From: Federica Pasquotto <f.pasquotto at math.leidenuniv.nl>
Date: Friday, 21 March 2025 at 11:00
To: Federica Pasquotto <f.pasquotto at math.leidenuniv.nl>
Subject: DDT&G seminar @Amsterdam on 28 March: Mélanie Theillière

Dear all,

You are cordially invited to attend the next Dutch Differential Topology and Geometry seminar, which will take place next week in Amsterdam.

Speaker: Mélanie Theillière (Université du Luxembourg)
Date: Friday 28 March, 14:30-17:00
Location: VU Amsterdam, HG-08A20 (please notice that this is not the usual room, but a lecture room in the main building)

In this instance, the seminar will consists of two independent talks, of which the second one will be at a slightly more advanced level.
Master students with an interest in geometry and topology are warmly encouraged to participate in both talks!

Schedule:

2:30-3:30 p.m. - First talk: "Corrugations and differential constraints"
3:30-4:00 - coffee break
4:00-5:00 p.m. - Second talk: "The hyperbolic plane in R^3"
(see below for the abstracts)


Please visit the seminar's webpage for additional information and an overview of past and upcoming talks:

https://www.few.vu.nl/~trt800/<https://www.few.vu.nl/~trt800/ddtg.html>ddt<https://www.few.vu.nl/~trt800/ddtg.html>g.html<https://www.few.vu.nl/~trt800/ddtg.html>

We hope to see many of you next week!

Alvaro, Federica and Thomas

Abstracts

First talk: Corrugations and differential constraints
We will present a corrugation formula, and we will use it to solve two problems in differential topology/geometry:
      (1) Removing singular points of a map.
      (2) Building (epsilon)-isometric maps. I.e. maps that are isometries (i.e. preserve lengths) up to a small, prescribed error.
Then we will provide a historical overview of such kinds of formulas.

Second talk: The hyperbolic plane in R^3
According to theorem of Nash and Kuiper, we know that it is possible to isometrically embed the hyperbolic plane into Euclidean 3-space. However, such an embedding only exists in C^1-regularity. By a theorem of Hilbert-Efimov, the regularity can not be enhanced to be C^2. In this talk, we will explicitly build such a C^1-embedding and we will explore its geometry.


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