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The Erwin Schroedinger Institute for Mathematical Physics

Modern Maximal Monotone Operator Theory: From Nonsmooth Optimization to Differential Inclusions

The programme aims to bring together leading researchers to synthesize advances in areas related to the theory of monotone operators, and explore new directions and applications. Having its historical roots in the area of PDEs, the theory of monotone operators has flourished in functional and numerical analysis with the goal of answering deep theoretical questions on one hand and, on the other hand, with a focus on the development of algorithms. Monotone operators stand at the junction between the study of variational problems, with particular instances related to optimization, game theory and control, on one side, and partial differential equations or quasi-variational inequalities on the other. The expected results catalyzed through this thematic programme have the potential to improve our understanding, industrial processes and ultimately our lives. Special focus of this thematic programme is also given to train the next generation of scientists with an awareness of the interconnections between these important areas.

 

The programme contains two main Workshops and several Lecture Series:

Workshop 1: 
Nonsmooth and Variational Analysis, January 28 - February 1, 2019

Workshop 2:
Numerical Algorithms in Nonsmooth Optimization, February 25 - March 1, 2019
 

Lecture Series: February 4 - 7, 2019
Piermarco Cannarsa U Roma "Tor Vergata" Singularities of solutions to Hamilton-Jacobi equations
Hélène Frankowska CNRS Paris Optimal controls for evolution control systems
Michael Hintermüller WIAS Berlin Optimal control of nonsmooth structures
Fredi Tröltzsch TU Berlin An introduction to the optimal control of nonlinear partial differential equations

Lecture Series: February 21 - 22, 2019
Peter Richtarik KAUST/U Edinburgh Introduction to randomized methods in convex optimization
Marc Teboulle U Tel Aviv Proximal methods in optimization

Lecture Series: March 4 - 6, 2019

 Aris Daniilidis

U Santiago de Chile Exploring structure in variational analysis and optimization
Jean-Christophe Pesquet U Paris-Saclay Stochastic splitting algorithms for solving monotone inclusions and convex optimization problems

Registration for Lecture Series is open until November 30, 2018!

At a glance

Type: Thematic Programme
When: Jan 28, 2019 to
Mar 08, 2019
Where: ESI, Boltzmann Lecture Hall
Organizers: Heinz H. Bauschke (U of British Columbia), Radu I. Bot (U Vienna), Hélene Frankowska (U Paris 6), Michael Hintermüller (Weierstrass Inst. Berlin), D. Russel Luke (U Göttingen)
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