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seminars:anal
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The Analysis Seminar
The seminar meets Wednesdays in WH-100E at 4:00-5:00 p.m. There are refreshments and snacks in WH-102 at 3:15.
Organizers:
Faculy:Paul Loya, David Renfrew, Minghao Rostami, Emmett Wyman, Xiangjin Xu, Ziyao Xu and Gang Zhou
Post-Docs: Rohan Sarkar
Spring 2026
* January 21st, Wednesday (4-5pm)
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Topic: organizational meeting
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* January 28th, Wednesday (4-5pm)
Speaker : Chad Nelson (Binghamton University)
Topic: Fredholmness of Elliptic Operators on Manifolds with Boundary
Abstract: The classical calculus of pseudodifferential operators extends differential operators in a way that is suited to the construction of parametrices (pseudo-inverses) for elliptic operators. A fundamental consequence is that elliptic operators are Fredholm between appropriate Sobolev spaces on compact manifolds.
On manifolds with boundary, this implication no longer holds. Melrose’s calculus of b-pseudodifferential operators is the analogous class of operators which leads to Fredholm properties for elliptic operators satisfying a certain condition related to the boundary. In this talk, I will compare the classical case and the boundary case, emphasizing the new features introduced by the boundary—most notably the b-stretched product and the indicial operator—and explain how these lead to Fredholmness on weighted b-Sobolev spaces.
* February 4th, Wednesday (4-5pm)
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* February 11th, Wednesday (4-5pm)
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* February 18th, Wednesday (4-5pm)
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* February 25th, Wednesday (4-5pm)
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* March 4th, Wednesday (4-5pm)
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* March 11th, Wednesday (4-5pm)
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* March 18th, Wednesday (4-5pm)
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* March 25th, Wednesday (4-5pm)
Speaker: Yiming Zhao(Syracuse University)
Topic: TBD
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* April 1st, Wednesday (4-5pm)
Speaker: Spring Break
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* April 8th, Wednesday (4-5pm)
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* April 15th, Wednesday, 4:00-5:00pm
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* April 22th, Wednesday (4-5pm)
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* April 29th, Wednesday (4-5pm)
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* May 6th, Wednesday (4-5pm)
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seminars/anal.1769027055.txt · Last modified: 2026/01/21 15:24 by xxu