Browsing 2016 by MFO Scientific Program "OWLF 2015"

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Getzler rescaling via adiabatic deformation and a renormalized local index formula

[OWP-2016-18] Bohlen, Karsten; Schrohe, Elmar (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)

We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ...
Real group orbits on flag ind-varieties of SL (∞, C)

[OWP-2016-01] Ignatyev, Mikhail V.; Penkov, Ivan; Wolf, Joseph A. (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)

We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$ , $SU(p,\infty)$ , $SL(\infty,\mathbb{R})$ , $SL(\infty,\mathbb{H})$ . Our main object of study are the $G^0$ -orbits on ...