OAGUB

Operator-algebraic geometry in the unit ball

Coordinatore	TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY    more  Organization address address: TECHNION CITY - SENATE BUILDING city: HAIFA postcode: 32000 contact info Titolo: Mr. Nome: Mark Cognome: Davison Email: send email Telefono: 97248294854
Nazionalità Coordinatore	Israel [IL]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2012-CIG
Funding Scheme	MC-CIG
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-09-01   -   2016-08-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY  Organization address address: TECHNION CITY - SENATE BUILDING city: HAIFA postcode: 32000 contact info Titolo: Mr. Nome: Mark Cognome: Davison Email: send email Telefono: 97248294854	IL (HAIFA)	coordinator	47˙916.67
2	BEN-GURION UNIVERSITY OF THE NEGEV  Organization address address: Office of the President - Main Campus city: BEER SHEVA postcode: 84105 contact info Titolo: Ms. Nome: Daphna Cognome: Tripto Email: send email Telefono: +972 8 6472435 Fax: +972 8 6472930	IL (BEER SHEVA)	participant	52˙083.33

Mappa

 Word cloud

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 Obiettivo del progetto (Objective)

'In this project, I plan to study the interaction between operator theory, function theory and algebraic geometry in some reproducing kernel Hilbert spaces (and their multiplier algebras), which live on subvarieties of the unit ball. The reproducing kernel Hilbert spaces (RKHSs) that I shall consider in this project are the quotients of Drury-Arveson space by a radical, homogeneous ideal.

I plan to address four main problems. First, I plan to compute the essential norm of the continuous multipliers on these RKHSs. Second, I plan to compute the C*-envelope of the operator algebra given by the image of the continuous multipliers on a RKHS in the Calkin algebra of that RKHS. Third, I plan to prove an effective Hilbert's Basis Theorem by showing that every radical homogeneous ideal has the stable division property. Finally, I plan to use the above results to prove some versions of Arveson's conjecture, which states that every quotient of the Drury-Arveson space by a graded submodule is essentially normal.'