[Topology.beta] Events next week: External speaker in AG, and DDT&G

[Rot, T.O. (Thomas)]

Dear all,

The first event is starting now.

Best,
THomas

From: "Rot, T.O. (Thomas)" <t.o.rot at vu.nl>
Date: Thursday, 27 June 2024 at 10:05
To: "_list_topology.beta" <topology.beta at listserver.vu.nl>
Subject: Events next week: External speaker in AG, and DDT&G

Dear all,

We have two events next week. On Tuesday at 16:00 Bernardo Uribe will speak in the AG. On Friday there is a surprise DDT&G event (stating at 14:00) by Eduardo Fernandez Fuertes  in Utrecht. The abstract and title is below.

For the non (bachelor/master) students on this mailing list: After the talk on Tuesday we join the department drinks and go for dinner. Can you send me an email if you want to join for dinner? I am aware that this is during the soccer match of the Netherlands. Currently I don’t know what to do with that.

Best,
Thomas

Title: Parametrized 3-dimensional contact topology

Abstract: The efforts of many mathematicians during the eighties, nineties, and early two-thousands culminated in a clear path of action for the classification problem in 3-dimensional contact topology, both in the global version (contact structures) and the relative version (Legendrians/transverse links). However, the classification problem for families of objects (contact structures, contactomorphisms, Legendrians, transverse links) has remained mysterious, both in the case of tight and overtwisted contact 3-manifolds. Very recently, Eliashberg and Mishachev proved the contractibility of the space of tight contact structures standard at infinity in the Euclidean 3-space, giving a new impulse to the field.

In this series of talks, we will provide a panoramic overview of the classification problems for families in 3-dimensional contact topology. In the first introductory talk, we will review the general strategy to tackle the problem, culminating with the microfibration trick for embedding spaces. In the second talk, we will explore several instances where the trick applies, i.e., where a complete classification can be addressed, and we will use it to study the new subclass of strongly overtwisted contact structures, which is governed by a parametric h-principle. Some parts of these talks will be based on joint works with Martínez-Aguinaga, Min, Muñoz-Echániz, and Presas.



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