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Arizona Winter School 2001
Course Descriptions and Notes
Kevin Buzzard: p-adic modular forms
Notes from Buzzard's lectures:
Lecture 1:
dvi
,
ps
,
pdf
Lecture 2:
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,
ps
,
pdf
Lecture 3:
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,
ps
,
pdf
Lecture 4:
dvi
,
ps
,
pdf
Buzzard's project was about computing the U operator on overconvergent 2-adic modular forms of level 1 and even weight:
dvi
,
ps
,
pdf
Buzzard's students' write-up of their lecture:
dvi
,
ps
,
pdf
Laurent Clozel: The local Langlands conjecture
Clozel's project description in
html
Barry Mazur, assisted by Tom Weston: Euler systems
Preliminary notes for Mazur's lectures:
dvi
,
ps
,
pdf
More detailed notes by Mazur's students:
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,
ps
,
pdf
Mazur's project description:
dvi
,
ps
,
pdf
Notes on Kato-Siegel functions, used in Mazur's students' lectures:
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,
ps
,
pdf
A paper by Tom Weston on The modular curves X
0
(11) and X
1
(11):
ps
,
pdf
Another paper by Tom Weston, on The Euler system of Heegner points:
dvi
,
ps
,
pdf
A repository at Harvard of
documents related to Mazur's lectures and project
Dinakar Ramakrishnan: Modular forms over CM fields
An outline of Ramakrishnan's course and his project description:
dvi
,
ps
,
pdf
Peter Sarnak: Analytic theory of automorphic L-functions and applications
Sarnak's course description and project in
html
A list of references for Sarnak's course:
dvi
,
ps
,
pdf
Professional Development Component
Silvo Levy: Writing and communicating mathematics
Levy's course description in
html