Index Theory for Beginners (Lecture 5)

Toshikazu Natsume  (Nagoya Institute of Technology)

10:00-11:20, Jan 5, 2021   Zoom 61413395103 £®Password 123456£©




Abstract:

Section 1 : Motivation  Examples  History  Mystery in Geometry Section 2: Functional Analysis, a quick review  Compact Operators  Fredholm Alternative  Fredholm Index Section 3: Pseudodifferential Operators and Sobolev Spaces  Elliptic Operators  Parametrix Section 4: The Atiyah-Singer-type Index Formulae  A Variant of A-S-type Index Formula for Rn  An Example worth investigating Section 5: Developments  The Higson-Roe Index Theorem  Index Theorem appearing in Mathematical Physics

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