Severino Toscano Do Rego Melo

• K-Theory Conference Argentina 2018 (Workshop), AR.EXT

• Abstract

  The main goal is to prove the regularity of the eta-function associated to the Boutet de Monvel algebra on the half-space with appropriate estimates at infinity. (AU)

  Structure of operator algebras on manifolds with boundary, AV.EXT

• Abstract

  The goal of this visit is to finish work started during my visit at the University of Hannover, from January to February of 2009, about the index of families of Boutet de Monvel operators. We expect to be able to generalize, using techniques of K-theory of C*-algebras, at the same time Boutet de Monvel's index theorem for boundary value problems and Atiyah and Singer's index theorem for f…

  The index of families of elliptic boundary value problems, AV.EXT

(Only some records are available in English at this moment)

• Abstract

  In his Master's thesis, the applicant will prove generalizations of a classical result in Operator Theory, namely, that two bounded Fredholm operators on a Hilbert space can be joined by a continuous curve of Fredholm operators if and only if they have the same index. (AU)

  Continuous deformations of Fredholm operators in B(H), BP.MS

• Abstract

  The student will learn the basic facts about densely defined unbounded operators on Hilbert spaces, aiming at applying them to describe selfadjoint realizations of the Laplace operator. (AU)

  Selfadjoint realizations of the Laplacian, BP.IC

• Abstract

  The student's main goal will be to make a complete and detailed exposition, starting from basic facts, of Robert Seeley's "Extension of C^infty-functions (Proc. Amer. Math. Soc. 1964). This is a deep result, very useful in applications. It has been quoted at least 69 times in papers about boundary value problems. (AU)

  Seeley's extension and boundary value problems, BP.IC

(Only some records are available in English at this moment)