Colloquium Mathematics, Professor Terry Rockafellar
Join us for coffee and tea at 15.30 p.m.
Date: |
Tuesday, June 17th 2014 |
Speaker: |
Professor Terry Rockafellar, |
Room: |
5161.0293 (Bernoulliborg) |
Time: |
16.00 |
Title: Variational Analysis, Variational Geometry, and Optimization
Abstract:
Classical analysis covers many function-constructing operations, such as
addition, multiplication, composition and even integration, but not the
operations that are essential in optimization, namely minimization and
maximization. The simple reason is that those operations don't preserve
differentiability. If a function g(x) is defined as the minimum (or the
maximum) of f(x,y) with respect to y in some set Y, no amount of
differentiability of f in x and y will carry over, in general, to g being
differentiable in x.
Variational analysis, as an extension of classical analysis which encompasses
also convex analysis, gets around this by introducing one-sided concepts of
generalized differentiability which moreover have a basis in set convergence
very different from the usual pointwise convergence of different quotients.
Variational geometry provides powerful support by associating one-sided tangent
and normal "cones" instead of subspaces to the points of a set in a linear space.
Novel concepts of regularity, unanticipated in classical theory, then come up.
This talk will aim at explaining these ideas on broad introductory level.
Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and
Dr. A.V. Kiselev (e-mail:
a.v.kiselev rug.nl
)
http://www.rug.nl/research/jbi/news/colloquia/mathematics-colloquia/
Last modified: | 10 February 2021 2.28 p.m. |
More news
-
29 April 2024
Tactile sensors
Every two weeks, UG Makers puts the spotlight on a researcher who has created something tangible, ranging from homemade measuring equipment for academic research to small or larger products that can change our daily lives. That is how UG...
-
29 April 2024
Behind the scenes: how UG and Hanze UAS students are jointly developing a Mars rover
This year the students of the Makercie team are participating in the physical edition of the European Rover Challenge in Poland. Read more about the team and the collaboration between the RUG and Hanze UAS here.
-
23 April 2024
Nine MSCA Doctoral Network grants for FSE researchers
Nine researchers of the Faculty of Science and Engineering have received a Horizon Europe Marie Sklodowska Curie Doctoral Network grant.