This is an online research seminar on dynamical systems theory. It takes place every Friday (except Brazilian holidays) from 11 am to 12 am (local time in Rio de Janeiro, Brazil) using the platform zoom.

This seminar is part of an initiative to combat the current difficult situation of isolation and mathematical (not only) depression. In those times active resistance is fundamental. This is our proposal. We invite you to join us.

The seminar announcement is sent through the mailinglist DinamiCarioca (see also here).
If you are no member of "dinamicarioca" and are interested in receiving information about this seminar please send an email to rb.oir-cup.tam|0202acimanidaicnetsiser#rb.oir-cup.tam|0202acimanidaicnetsiser and you will be included in the mailing list of this seminar.


14 May | 11h00min | Meysam Nassiri (IPM, Teeran, Iran)
Title: A search for a stable and local source of ergodicity

We discuss the stable ergodicity of the action of groups of diffeomorphisms on smooth manifolds. The existence of such actions is well-known only on one-dimensional manifolds. As a consequence of a new local and stable mechanism/phenomenon, called quasi-conformal blender, one can overcome this restriction and construct higher-dimensional examples. In particular, every closed manifold admits stably ergodic finitely generated group actions by smooth diffeomorphisms. One can also prove the stable ergodicity of the natural action of a generic pair of matrices near the identity on a sphere of arbitrary dimension. The quasi-conformal blender is developed in the context of pseudo-semigroup actions of locally defined smooth diffeomorphisms which yields stable local ergodicity in several different settings.
This talk is based on a joint work with A. Fakhari and H. Rajabzadeh.

More seminars in Upcoming seminars.

Organization: Lorenzo J. Díaz (PUC-Rio, Brazil)

Contact: rb.oir-cup.tam|0202acimanidaicnetsiser#rb.oir-cup.tam|0202acimanidaicnetsiser

Zoom access: PUC-Rio, Brazil.

ANNOUNCEMENT: the gmail-account moc.liamg|0202acimanidaicnetsiser#moc.liamg|0202acimanidaicnetsiser was blocked by some mysterious rule of Gmail that requires some security check. Provided cellphone numbers did not work (there appeared a mysterious message “This number was already used several times for confirmation.”, which was not true). We never forgot the password. We tried several cellphones.

In consequence, we also lost the access to the youtube account videos of previous seminars are deposited.

We also lost all contact addresses. We trying to recover most of them. In case you did not receive a message by September 1st, this will mean that we lost your contact and we apologize for that.