BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maxim Braverman (Northeastern University) DTSTART:20201014T190000Z DTEND:20201014T200000Z DTSTAMP:20260420T052928Z UID:NYC-NCG/26 DESCRIPTION:Title: Spectral Flow of Toeplitz operators and bulk-edge correspondence\nby Maxim Braverman (Northeastern University) as part of Noncommutative geomet ry in NYC\n\n\nAbstract\nWe show that the (graded) spectral flow of a fami ly of Toeplitz operators on a complete Riemannian manifold is equal to the index of a certain Callias-type operator. When the dimension of the manif old is even this leads to a cohomological formula for the spectral flow. A s an application\, we compute the spectral flow of a family of Toeplitz op erators on a strongly pseudoconvex domain in $\\mathbb{C}^n$. This result is similar to the Boutet de Monvel's computation of the index of a single Toeplitz operator on a strongly pseudoconvex domain. Finally\, we show tha t the bulk-boundary correspondence in a tight-binding model of topological insulators is a special case of our results. At the end I will explain KK -theoretical extension of the main theaorem to families of Toeplitz operat ors parametrized by an arbitrary compact manifold\, obtained by Koen van d en Dungen.\n LOCATION:https://researchseminars.org/talk/NYC-NCG/26/ END:VEVENT END:VCALENDAR