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Workshop on operator theory

The Graduate School organizes a workshop on 7-11 May 2012 consisting of minicourses and talks on themes related to invariant subspaces, composition operators and linear dynamics. The courses are aimed at doctoral students and advanced undergraduates in mathematics as well as postdocs and faculty members.

The workshop will take place at the Department of Mathematics and Statistics of the University of Helsinki. It is located in the Exactum building (Gustaf Hällströmin katu 2b) on the Kumpula Campus.

Programme

Minicourses:

  • Isabelle Chalendar (Lyon I) and Jonathan Partington (Leeds): Modern Approaches to the Invariant-Subspace Problem (8 hours)

    Outline: Introduction - Universal operators - Minimal vectors - Subnormal operators - Contractions with rich spectrum - Moment sequences - Generalizations of compact operators - The functional calculus approach

    Exercises

    Reference:
    Chalendar & Partington: Modern Approaches to the Invariant-Subspace Problem, Cambridge Univ. Press, 2011
  • Étienne Matheron (Artois): Dynamics of Linear Operators (6 hours)

    Outline: Basic facts about hypercyclic operators - The importance of unimodular eigenvalues - Frequently hypercyclic operators

    Exercises

    References:
    Bayart & Matheron: Dynamics of Linear Operators, Cambridge Univ. Press, 2009
    Grosse-Erdmann & Peris Manguillot: Linear Chaos, Springer, 2011

Short talks:

  • Miika Nikula (Helsinki): Random entire functions are frequently hypercyclic for the differentiation operator
  • Ioannis Parissis (Helsinki): Szemerédi's theorem, frequent hypercyclicity and multiple recurrence (abstract)
  • Erno Saukko (Oulu): Differences of composition operators between Bergman spaces

Schedule

 

Mon 7

Tue 8

Wed 9

Thu 10

Fri 11

10.15-12.00

Chalendar &
Partington

Chalendar &
Partington

Cowen

Cowen

Matheron

12.00-14.15

lunch break

lunch break

lunch break

lunch break

lunch break

14.15-16.00

Cowen

Matheron

Matheron

Chalendar &
Partington

Chalendar &
Partington

16.00-16.30

 

 

coffee

 

 

16.30-18.00

 

 

Nikula
Parissis
Saukko

 

 

All lectures are held in the lecture room D123 (first floor).

Participation

Although there is no registration fee for attending the workshop, participants coming from outside the University of Helsinki are asked to notify either of the organizers by email. A limited number of short talks by the participants can be included; please contact the organizers if you wish to give such a talk.

The Graduate School may provide financial support for travel and accommodation costs to doctoral students who work at one of the Finnish departments participating in the Graduate School. Please contact Hans-Olav Tylli (the director of the Graduate School) for details.

The participants are requested to arrange their accommodation themselves. Here are links to just a few hotels that might be considered:

Please note: Due to the Ice Hockey World Championships taking place in Helsinki (and Stockholm) on 4-20 May there will be a relative shortage of hotel rooms as well as increased prices. Please act soon, and contact the organizers if you need further assistance.

Organizers

Hans-Olav Tylli, hojtylli@cc.helsinki.fi
Pekka Nieminen, pjniemin@cc.helsinki.fi

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