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Mathematical Sciences Colloquium by Peter Howard
Friday, Nov. 15, 2019
11 a.m. - noon Location: JO 3.516

Peter Howard

Texas A&M

Renormalized oscillation theory for linear Hamiltonian systems via the Maslov index

One of the obstacles that arises in the generalization of
Sturm's oscillation theorem to the case of systems is
the need to associate a sign with each conjugate point,
necessitating a signed count rather than a direct count
of such points. In 1996, Barry Simon, Gerald Teschl,
and Fritz Gesztesy introduced an approach that overcomes
this obstacle, which they referred to as "renormalized
oscillation theory." In this talk, I'll discuss the
motivation for renormalized oscillation theory, and
describe how the theory can be developed through use
of a topological invariant called the Maslov index.

Coffee to be served 30 minutes prior to the talk in the alcove outside of FO 2.406.

Persons with disabilities may submit a request for accommodations to participate in this event at UT Dallas' ADA website. You may also call (972) 883-5331 for assistance or send an email to [email protected]. All requests should be received no later than 2 business days prior to the event.
Contact Info:
Viswanath Ramakrishna, 972-883-6873
Questions? Email me.

Tagged as Lectures/Seminars, Professional Dev.
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