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Short course Duality and symmetry in interacting particle systems, by Gunter Schütz


2025-03-19 — 2025-03-20

Map Room P3.10, Mathematics Building, Instituto Superior Técnico

Duality and symmetry in interacting particle systems

Duality is an important concept in the study of stochastic interacting particle systems. For arbitrary initial measures duality expresses expectations of a family of functions at time $t$ in terms of the transition probability of a dual process which may be simpler to analyse. Focussing on countable state space we discuss duality from the perspective of the generator. Unlike the more traditional approach of looking at duality in a pathwise manner this allows us to understand straightforwardly how dualities arise from symmetries, or more generally, from invariant subspaces of the generator and leads to constructive methods for finding useful dualities. Also the new concept of reverse duality comes out naturally. It yields the full probability measure of the process at time t for a family of initial measures in terms of transition probabilities of the dual process and thus allows for the computation of arbitrary expectation values.


Sessions on March 19 and 20, 1:00PM to 2:30PM.

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IX International Workshop Non-associative algebras in Lisbon
2025-04-07 — 2025-04-11

@ Instituto Superior Técnico

This conference aims to be a forum for sharing ideas and recent results in this area of mathematics. Previous editions of this conference series have taken place in Brazil, Spain, Italy, Portugal, and Sweden.

Organizers: Ivan Kaygorodov (University of Beira Interior), Lina Oliveira (CAMGSD, IST, University of Lisbon), Pedro Lopes (CAMGSD, IST, University of Lisbon)

Mathematics doctoral defense
2025-02-27

Francisco Cristóvão Agostinho, supervised by Hugo Ricardo Nabais Tavares (adviser), Simão Fernandes Correia (co-adviser), defended his thesis Classification and Stability Results of Ground State Solutions on Metric Graphs, at Anfiteatro Pa3, Pavilhão de Matemática, Instituto Superior Técnico, and was awarded a doctoral degree in Mathematics.

Workshop on Operator Theory, Complex Analysis, and Applications 2025 - WOTCA 2025
2025-07-07 — 2025-07-11

@ Universidade de Aveiro

The Workshop on Operator Theory, Complex Analysis, and Applications 2025 - WOTCA 2025 will be held at University of Aveiro, Portugal, on July 7-11, 2025.

It aims to bring together researchers working in Operator Theory, Complex Analysis, and their applications, in particular Mathematical Physics, and to create an opportunity to highlight the current state of the art in these fields, to present open problems and to promote collaborative discussions.

This workshop follows the line of several previous WOTCA meetings.

The programme will consist of several invited 25+5 minute talks and a very small number of contributed talks. A preliminary list of speakers is available here

WOTCA 2025 has no registration fee and is open to everybody interested, but the number of participants will be limited, in order to foster dialogue in a friendly atmosphere.

This workshop is funded by national funds through the FCT - Fundação para a Ciência e a Tecnologia, I.P., under FCT Multi-Annual Financing Program and the projects: UIDB/04459/2025, UIDP/04459/2025 (CAMGSD, IST-ID) and UIDB/04674/2020 (CIMA).

Young Researchers in Functional Analysis and Mathematical Physics''25
2025-07-09 — 2025-07-11

@ Universidade de Aveiro

The fifth Young Researchers in Functional Analysis and Mathematical Physics meeting, YRFAMP''25, will take place at University of Aveiro, Portugal, on July 9-11, 2025. The previous YRFAMP meetings were YRFAMP''18YRFAMP''22YRFAMP''23 and YRFAMP''24.

 It will be held aiming to foster contact between leading mathematicians and younger ones.

YRFAMP''25 welcomes students and young researchers in Functional Analysis, Mathematical Physics and related topics. However the number of talks will be limited. Those interested in participating should send an email to one of the organisers.

The program of YRFAMP''25 will consist of a series of invited 15+5 minute talks and a very small number of contributed talks. 

This workshop is funded by national funds through the FCT - Fundação para a Ciência e a Tecnologia, I.P., under FCT Multi-Annual Financing Program and the projects: UIDB/04459/2025, UIDP/04459/2025 (CAMGSD, IST-ID) and UIDB/04674/2020 (CIMA).

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Current funding: FCT UIDB/04459/2020 & FCT UIDP/04459/2020.

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