ANTHOS

Analytic Number Theory: Higher Order Structures

Coordinatore	GEORG-AUGUST-UNIVERSITAET GOETTINGEN STIFTUNG OEFFENTLICHEN RECHTS    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Germany [DE]
Totale costo	1˙004˙000 €
EC contributo	1˙004˙000 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2010-StG_20091028
Funding Scheme	ERC-SG
Anno di inizio	2010
Periodo (anno-mese-giorno)	2010-10-01   -   2015-09-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	GEORG-AUGUST-UNIVERSITAET GOETTINGEN STIFTUNG OEFFENTLICHEN RECHTS  Organization address address: WILHELMSPLATZ 1 city: GOTTINGEN postcode: 37073 contact info Titolo: Ms. Nome: Nadja Cognome: Daghbouche Email: send email Telefono: +49 551 39 9795 Fax: +49 551 39 189795	DE (GOTTINGEN)	hostInstitution	1˙004˙000.00
2	GEORG-AUGUST-UNIVERSITAET GOETTINGEN STIFTUNG OEFFENTLICHEN RECHTS  Organization address address: WILHELMSPLATZ 1 city: GOTTINGEN postcode: 37073 contact info Titolo: Prof. Nome: Valentin Cognome: Blomer Email: send email Telefono: 49551397787 Fax: +49551 3922985	DE (GOTTINGEN)	hostInstitution	1˙004˙000.00

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 Obiettivo del progetto (Objective)

'This is a proposal for research at the interface of analytic number theory, automorphic forms and algebraic geometry. Motivated by fundamental conjectures in number theory, classical problems will be investigated in higher order situations: general number fields, automorphic forms on higher rank groups, the arithmetic of algebraic varieties of higher degree. In particular, I want to focus on - computation of moments of L-function of degree 3 and higher with applications to subconvexity and/or non-vanishing, as well as subconvexity for multiple L-functions; - bounds for sup-norms of cusp forms on various spaces and equidistribution of Hecke correspondences; - automorphic forms on higher rank groups and general number fields, in particular new bounds towards the Ramanujan conjecture; - a proof of Manin's conjecture for a certain class of singular algebraic varieties. The underlying methods are closely related; for example, rational points on algebraic varieties will be counted by a multiple L-series technique.'