Sophie Morel

Sophie Morel

Department of Mathematics
Princeton University
Fine Hall, Washington Road
Princeton, NJ 08544
USA

E-mail :
Office : Fine Hall 701
Office phone : 609-258-5186

Here is my CV (last updated : June 2018) in English and in French.

(Photo by Margaret Readdy)

Publications

Complexes d'intersection des compactifications de Baily-Borel. Le cas des groupes unitaires sur Q. (phd thesis) : complexes_d_intersection.pdf
Complexes pondérés des compactifications de Baily-Borel. Le cas des variétés modulaires de Siegel. (J. Amer. Math. Soc. 21 (2008), 23-61) : complexes_ponderes.pdf
Note sur les polynômes de Kazhdan-Lusztig (Mathematische Zeitschrift, 2011).note_sur_les_polynomes_de_KL.pdf
On the cohomology of certain non-compact Shimura varieties (Annals of Mathematics Studies 173, Princeton University Press, 2010). stabilisation.pdf
Cohomologie d'intersection des variétés modulaires de Siegel, suite. (Compositio Mathematica, 2011) groupes_symplectiques.pdf
The intersection complex as a weight truncation and an application to Shimura varieties. (notes of my talk at the 2010 ICM, with a couple of typos fixed) icm2010.pdf
Construction de représentations galoisiennes de torsion, d'après Peter Scholze (Bourbaki seminar talk, June 2015). Bourbaki_Scholze.pdf
The standard sign conjecture on algebraic cycles: the case of Shimura varieties (joint with Junecue Suh, Crelle, 2014). sign_Crelle.pdf
I know that you know : enigmas based on the concept of common knowledge (joint with Mohammad Shahryari, expository, in Persian; appeared in the Newsletter of the Iranian Mathematical Society, 2017) Islanders.pdf
Some combinatorial identities appearing in the calculation of the cohomology of Siegel modular varieties (with Richard Ehrenborg and Margaret Readdy, in Algebraic Combinatorics, October 2019) : arXiv link

Prepublications

Mixed l-adic complexes for schemes over number fields (submitted) sur_Q.pdf
The four operations on perverse motives (with Florian Ivorra) PerverseMotives.pdf

Other writings

Notes from MAT 449 (Introduction to representation theory, Fall 2016). Probably full of typos, use at your own risk. : rep_theory_notes.pdf
Note on derived deformation rings and de Jong's conjecture (in French). : Def.pdf
Beilinson's construction of nearby cycles and gluing. : gluing.pdf
A quick introduction to perverse sheaves. : faisceaux_pervers.pdf

Teaching

Fall 2019 : MAT 540 : Homological algebra. Notes (last updated November 6).

Problem sets (solutions are posted after the problem sets are due):

Problem set 1 (due September 19) : PS1 (without solutions), PS1 (with solutions),

Problem set 2 (due September 26) : PS2 (without solutions), PS2 (with solutions),

Problem set 3 (due October 4) : PS3 (without solutions), PS3 (with solutions),

Problem set 4 (due October 10) : PS4 (without solutions), PS4 (with solutions),

Problem set 5 (due October 17) : PS5 (without solutions), PS5 (with solutions),

Problem set 6 (due November 3) : PS6 (without solutions), PS6 (with solutions),

Problem set 7 (due November 7) : PS7 (without solutions), PS7 (with solutions),

Problem set 8 (due November 14) : PS8 (without solutions), PS8 (with solutions),

Spring 2019 : MAT 517 : Rigid analytic geometry. Notes (last updated April 22).

Fall 2018 : MAT 449 : Representation theory. Notes (last updated December 17).
Problem sets (warning : the solutions have not been checked; use at your own risk !) :

Problem set 1 (due September 20) : PS1 (without solutions), PS1 (with solutions),

Problem set 2 (due September 27) : PS2 (without solutions), PS2 (with solutions),

Problem set 3 (due October 4) : PS3 (without solutions), PS3 (with solutions),

Problem set 4 (due October 11) : PS4 (without solutions), PS4 (with solutions),

Problem set 5 (due October 18) : PS5 (without solutions), PS5 (with solutions),

Problem set 6 (due October 28) : PS6 (without solutions), PS6 (with solutions),

Problem set 7 (due November 8) : PS7 (without solutions), PS7 (with solutions),

Problem set 8 (due November 18) : PS8 (without solutions), PS8 (with solutions),

Problem set 9 (due November 29) : PS9 (without solutions), PS9 (with solutions),

Problem set 10 (due December 9) : PS10 (without solutions), PS10 (with solutions),

Problem set 11 (due December 16) : PS11 (without solutions), PS11 (with solutions),

Spring 2018 (in Lyon) : Introduction to derived algebraic geometry (notes)

Spring 2017 : MAT 217, linear algebra (notes)

Fall 2016 : MAT 449, topics in representation theory (notes)

Fall 2014 : MAT 518, topics in automorphic forms (moduli stacks of shtuka and global Langlands correspondence). Notes by Dan Collins.

Fall 2014 : MAT 449, topics in representation theory (semisimple Lie algebras).
Spring 2014 : MAT 518, topics in automorphic forms (geometric Satake correspondence). Notes by Dan Collins.

Fall 2013 : MAT 449, topics in representation theory (compact Lie groups).