Differential operators and families of automorphic forms on unitary groups of arbitrary signature

Ellen Eischen, Jessica Fintzen, Elena Mantovan, Ila Varma

Type: Preprint

Publication Date: 2015-01-01

Citations: 12

DOI: https://doi.org/10.48550/arxiv.1511.06771

View Publication

Locations

arXiv (Cornell University) - View
CaltechAUTHORS (California Institute of Technology) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Differential Operators and Families of Automorphic Forms on Unitary Groups of Arbitrary Signature	2018	Ellen Eischen Jessica Fintzen Elena Mantovan Ila Varma
+	Eisenstein series and automorphic representations	2015	Philipp Fleig Henrik P. A. Gustafsson Axel Kleinschmidt Daniel Persson
+	Automorphic Forms on Unitary Groups	2022	Ellen Eischen
+ PDF Chat	$p$-adic $L$-functions for $P$-ordinary Hida families on unitary groups	2024	David Marcil
+ PDF Chat	Constructing vector-valued automorphic forms on unitary groups	2024	Thomas Browning Pavel Čoupek Ellen Eischen Claire Frechette Serin Hong Si Ying Lee David Marcil
+	Archimedean zeta integrals for unitary groups	2024	Ellen Eischen Zheng Liu
+	Archimedean Zeta Integrals for Unitary Groups	2020	Ellen Eischen Zheng Liu
+ PDF Chat	-ADIC -FUNCTIONS FOR UNITARY GROUPS	2020	ELLEN EISCHEN Michael Harris Jianshu Li Christopher Skinner
+ PDF Chat	Automorphic Forms Beyond 𝐺𝐿₂	2024	Ellen Eischen Wee Teck Gan Aaron Pollack Zhiwei Yun
+	p-adic families of automorphic forms in the µ-ordinary setting	2021	Ellen Eischen Elena Mantovan
+	p-adic L-functions for unitary groups, part II: zeta-integral calculations	2016	Ellen Eischen Michael Harris Jianshu Li Christopher Skinner
+	p-adic Differential Operators on Automorphic Forms and Applications.	2009	Ellen Eischen
+ PDF Chat	p-adic Differential Operators on Automorphic Forms on Unitary Groups	2012	Ellen Eischen
+	Ordinary families of automorphic forms on definite unitary groups	2016	Baskar Balasubramanyam Dipramit Majumdar
+	Construction of $p$-adic $L$-functions for unitary groups	2015	Michael Harris
+	Automorphic products on unitary groups	2011	Eric Hofmann
+	Representation of automorphic forms as lacunary series and Blaschke products	2009	N. N. Garif’yanov
+	Compositions of Automorphic Differential Operators on Siegel Modular Forms	2016	Tomoyoshi Ibukiyama
+	Serre's $p$-adic Eisenstein Series (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups)	2000	昇勇長岡
+ PDF Chat	p-Adic q-Expansion Principles on Unitary Shimura Varieties	2016	Ana Caraiani Ellen Eischen Jessica Fintzen Elena Mantovan Ila Varma

Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	Entire Theta Operators at Unramified Primes	2021	Ellen Eischen Elena Mantovan
+ PDF Chat	-ADIC -FUNCTIONS FOR UNITARY GROUPS	2020	ELLEN EISCHEN Michael Harris Jianshu Li Christopher Skinner
+ PDF Chat	An introduction to Eisenstein measures	2022	Ellen Eischen
+	Geometric weight-shifting operators on Hilbert modular forms in characteristic p.	2020	Fred Diamond
+ PDF Chat	Nearly overconvergent Siegel modular forms	2019	Zheng Liu
+ PDF Chat	Applications of nonarchimedean developments to archimedean nonvanishing results for twisted $L$‑functions	2020	Ellen Eischen
+	Archimedean Zeta Integrals for Unitary Groups	2020	Ellen Eischen Zheng Liu
+	p-adic families of automorphic forms in the µ-ordinary setting	2021	Ellen Eischen Elena Mantovan
+	Square root $p$-adic $L$-functions, I: Construction of a one-variable measure	2019	Michael Harris
+	Differential operators mod $p$: analytic continuation and consequences	2019	Ellen Eischen Max Flander Alexandru Ghitza Elena Mantovan Angus McAndrew

Works Cited by This (20)

Action	Title	Year	Authors
+	Algebraic topology and modular forms	2002	Michael J. Hopkins
+ PDF Chat	p-Adic q-Expansion Principles on Unitary Shimura Varieties	2016	Ana Caraiani Ellen Eischen Jessica Fintzen Elena Mantovan Ila Varma
+	Representations of Algebraic Groups	2007	Jens Carsten Jantzen
+ PDF Chat	A<i>p</i>-adic Eisenstein measure for vector-weight automorphic forms	2014	Ellen Eischen
+	Two variable p-adic L functions attached to eigenfamilies of positive slope	2003	Alexei Panchishkin
+	On differential operators attached to certain representations of classical groups	1984	Goro Shimura
+ PDF Chat	A p-adic Eisenstein measure for unitary groups	2013	Ellen Eischen
+	Values of abelianL-functions at negative integers over totally real fields	1980	Pierre Deligne Kenneth A. Ribet
+ PDF Chat	Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields	2014	Ming-Lun Hsieh
+ PDF Chat	Nilpotent connections and the monodromy theorem: Applications of a result of turrittin	1970	Nicholas M. Katz