Working Groups for Women in Operator Theory

22 - 26 June 2020

Venue: Lorentz Center@Oort

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Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. Many classical areas of analysis rely on techniques from operator theory, including Banach space theory, differential equations, and dynamical systems. The broad field of operator theory also provides powerful tools for the development of other scientific fields including quantum theory, physics, and mechanics. While the field is extremely prolific early-career mathematicians often feel at a loss with so many possible avenues to explore, all requiring mastery of numerous techniques, mathematical subtleties, and deep understanding of important results. In addition, a survey of recent conferences on related topics reveals that many have offered excellent talks on recent research advances in operator theory, but few have provided a visible component geared towards preparing a new generation of researchers from underrepresented groups or a broad background on prominent research topics within operator theory. The proposed workshop has the following main objectives:

Learn recent research trends and useful techniques in operator theory;Discuss strategies and solve open problems in operator theory and related areas;Initiate solid and long lasting research collaborations among participants;Increase the number of women researchers in operator theory and related areas; andCreate an active network of support for (female) researchers in operator theory and related areas.

Toward these objectives, we plan a workshop that includes a succinct overview of state-of-the-art techniques and recent trends in operator theory and its applications; intensive group problem-solving sessions with each working group led by 1-2 project leaders and involving graduate students/postdocs, early career researchers, and more experienced researchers to discuss possible strategies and solutions to open problems; structured conversations focused on career and research advancement and teaching pedagogy; and ample social periods for informal discussions. We hope to bring together women in operator theory and related fields to work collaboratively on research projects and to form a network of support through research collaborations and professional mentorship.

This is a list of possible research projects for the workshop:

Composition operators: A concrete approach to questions in general operator theory (PL: Eva A. Gallardo Gutiérrez, co-PL: Carl Cowen) Compressions of the shift operator in one and several variables (PL: Pamela Gorkin, co-PL: Kelly Bickel) An infinite dimensional inverse eigenvalue problem and related topics (PL: Dijana Ilisevic, co-PL: Fernanda Botelho) Semigroup methods for degenerated evolution equations (PL: Birgit Jacob, co-PL: Hafida Laasri) Complex symmetric operators and related topics (PL: Ji Eun Lee, co-PL: Hyun-Kyoung Kwon) Multiplication operators and structural projections on JBW*-triples (PL: Lina Oliveira and co PL Dr. Pauline Melon).

 

This workshop is partially funded by  FCT (Portugal) and CAMGSD through project UIDB/04459/2020.

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    Monday 22 June

    Theme of the day: Trends in Operator Theory and Applications

    Francesca Arici

    09:3010:00 Arrival, registration
    10:0010:15 Welcome and introduction by the Loretnz Center
    10:1511:15 Lecture (45'+ 15' disc)
    11:1512:15 Lecture (45'+ 15' disc)
    12:1513:45 Lunch
    13:4514:45 Lecture (45'+ 15' disc)
    14:4515:45 Lecture (45'+ 15' disc)
    15:3016:00 Coffee break
    16:0017:00 Lecture (45'+ 15' disc)
    17:0018:00 Lecture (45'+ 15' disc)
    17:4518:15 Group meetings
    18:1519:30 Gong session + Wine & Cheese party

    Tuesday 23 June

    Theme of the day: Problems and Advances in Operator Theory 

    Fernanda Botelho

    09:3010:15 Seminar (30' + 15' disc.)
    10:1511:15 Seminar (30' + 15' disc.)
    10:4511:15 Coffee break
    11:1512:00 Talk by invited speaker
    12:0013:00 Lunch
    13:3015:30 Group work session
    15:3016:00 Coffee break
    16:0017:00 Group work session
    17:0017:30 Come together + roundtable discussion

    Woensdag 24 June

    Theme of the day: Problems and Advances in Operator Theory

    Brittney Miller

    09:3010:15 Seminar (30' + 15' disc.)
    10:1511:15 Seminar (30' + 15' disc.)
    10:4511:15 Coffee break
    11:1512:00 Talk by invited speaker
    12:0013:00 Lunch
    13:3015:30 Group work session
    15:3016:00 Coffee break
    16:0017:00 Group work session
    17:0017:30 Come together + roundtable discussion
    18:0022:00 Workshop dinner

    Thursday 25 June

    Theme of the day: Problems and Advances in Operator Theory

    Fernanda Botelho

    09:3010:15 Seminar (30' + 15' disc.)
    10:1511:15 Seminar (30' + 15' disc.)
    10:4511:15 Coffee break
    11:1512:00 Talk by invited speaker
    12:0013:00 Lunch
    13:3015:30 Group work session
    15:3016:00 Coffee break
    16:0017:00 Group work session
    17:0017:30 Come together + roundtable discussion

    Friday 26 June

    Theme of the day: Operator Theory: Applications and Beyond

    Francesca Arici

    09:3010:30 Invited speaker (50'+ 10' disc)
    10:3011:00 Coffee break
    11:0011:30 Group work session
    11:3012:30 Summary + future agenda (10'each)
    12:0013:30 Lunch
    14:3017:30 Optional time for discussions or group activity
    Please log in to view the participants information...

    Cristina Camara, Instituto Superior Tecnico-University of Lisbon  

    Fernanda Botelho, University of Memphis  

    Brittney Miller, Coe College  

    Francesca Arici, Leiden University  


Michelle Grandia Jonkers

+31 71-5275579

jonkers@lorentzcenter.nl

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