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Various Notes
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Notes

Here are some various notes that I have written/taken over the years.

• Here are some seminar talks at University of Toronto, 2015::
  
  
• Sean Rostami, "Hecke algebras for simple supercuspidal representations"
  
• Karol Koziol, "L-packets for Hecke algebras in characteristic p"
  
• Cheng-Chiang Tsai, "Orbital integrals and character expansions of supercuspidal representations"
  
• Xin Shen, "Fourier Coefficients of Automorphic Representations"
  
• Sungmun Cho, "Group schemes and local densities of quadratic lattices "
  
• Eyal Kaplan, "Theta-distinguished representations"
  
  
  
• Here are talks at the Representation Theory of Reductive Groups Conference at University of Utah, July 2013:
  
  
• Bertram Kostant, "On the singular elements of a semisimple Lie algebra and the generalized Amitsur-Levitski Theorem"
  
• Wilfred Schmid, "On n-cohomology of limits of discrete series"
  
• David Vogan, "On relations between Hecke algebras, nilpotent orbits, and Weyl group representations"
  
• Jean-Loup Waldspurger, "Twisted endoscopy for real groups"
  
• George Lusztig, "Conjugacy classes in reductive groups"
  
• Allen Moy, "Cosets of depth zero lattices"
  
• Mark Reeder, "Depths of representations of p-adic groups"
  
• Eric Opdam, "Hecke algebras and unipotent representations"
  
• Tasho Kaletha, "Rigid inner forms"
  
• Paul Baum, "Geometric structure and the local Langlands conjecture"
  
• Meinolf Geck, "Verifying Kottwitz' conjecture by computer, II"
  
• Kyo Nishiyama, "On K-spherical flag varieties"
  
• Pramod Achar, "Parity sheaves on the affine Grassmanian and the Mirkovic-Vilonen conjecture"
  
• Leticia Barchini, "Two triangularity results and invariants about (g, Sp(p) x Sp(q)) modules"
  
• Gordan Savin, "Invariant theory and theta correspondences"
  
  
  
• Here is a minicourse on p-adic local Langlands, given by Pierre Colmez, in April 2013, at University of Utah:
  
  
• Pierre Colmez, "p-adic LLC minicourse - Day 1"
  
• Pierre Colmez, "p-adic LLC minicourse - Day 2"
  
• Pierre Colmez, "p-adic LLC minicourse - Day 3"
  
  
• Here are some talks that I have not categorized:
  
  
• Michael Rappoport, "The arithmetic fundamental lemma of Wei Zhang"
  
• Benedict Gross, "Internal structure of parahoric subgroups"
  
• Ju Lee Kim, "Some character computations"
  
• David Soudry, "CAP representations"
  
• David Kazhdan, "A construction of Bernstein projectors"
  
  
  
• Here are (some of the) talks at several Texas-Oklahoma Representations and Automorphic Forms conferences, September 2011-2012:
  
  
• Kimball Martin, "Non-vanishing of spinor L-values"
  
• Zachary Kent, "L-series for weakly holomorphic modular forms"
  
• Ralf Schmidt, "Transfer of Siegel modular forms"
  
• Abishek Saha, "Determination of modular forms by Fourier coefficients"
  
• Raghuram, "Special values of L-functions"
  
• Laura Peskin, "Mod p Iwahori Hecke algebra of the metaplectic group"
  
• Tomasz Przebinda, "Howe correspondence and Springer correspondence"
  
• Dan Ciubotaru, "Unitarity"
  
• Kwangho Choiy, "R-groups for p-adic inner forms of SL(n)"
  
  
  
• Here are (some of the) talks at Tata Institute of Fundamental Research, Mumbai, India, Conference on Automorphic Representations and L-functions, January 2012:
  
  
• Marko Tadic, "An interaction between harmonic analysis and automorphic forms"
  
• Bao Chau Ngo, "Kloosterman sheaves for reductive groups"
  
• Wei Zhang, "Global Gan-Gross-Prasad conjecture for unitary groups"
  
• Benedict Gross, "The average order of the 2-Selmer group for hyperelliptic curves"
  
• Atsushi Ichino, "Periods of quaternionic Shimura varieties"
  
• Jim Arthur, "The endoscopic classification of representations"
  
• Michael Rappoport, "On the arithmetic fundamental lemma of Wei Zhang"
  
• Dorian Goldfeld, "The distribution of the low lying zeros for the family of adjoint L-functions on GL(3)"
  
• A. Raghuram, "Cohomology of arithmetic groups and the special values of L-functions"
  
• Ram Murty, "The Fibonacci Zeta function"
  
• David Rohrlich, "Self dual Artin representations"
  
  
  
  
• Here are talks at University of Colorado, Boulder conference on p-adic groups, June 2011:
  
  
• Jeff Hakim, "Supercuspidal Representation of GL(n) distinguished by orthogonal involutions"
  
• Jiu-Kang Yu, "Can you hear the shape of a subgroup"
  
• Moshe Adrian, "Local Langlands correspondence, groups of type L, and twisting"
  
• Josh Lansky, "Lifting of Representations of finite reductive groups"
  
• Dipendra Prasad, "A relative local Langlands"
  
• Moshe Adrian, "Strong rational forms for real and p-adic groups"
  
  
  
  
• Here are talks at IAS conference on Galois representations and automorphic forms, March 2011:
  
  
• Laurent Clozel, "Spectrum and cohomology of locally algebraic varieties"
  
• Adrian Iovita, "Overconvergent Eichler-Shimura"
  
• Ana Caraiana, "Local-Global Compatibility and Monodromy"
  
• Frank Calegari, "Modularity Lifting Theorems for quadratic imaginary fields"
  
• Jared Weinstein, "A semistable model for the tower of modular curves"
  
• Marie-France Vigneras, "From etale (Phi,Gamma)-modules to representations of G"
  
• Matthew Emerton, "p-adic Hodge theory and cohomology of Shimura varieties"
  
• Tobe Gee, "p-adic Hodge theory and cohomology of Shimura varieties II (continuation of Emerton talk)"
  
  
  
  
• Here are talks at University of Iowa Special Session on p-adic and global representation theory, March 2011:
  
  
• James Cogdell, "Local exterior square L-function for GL(n)"
  
• David Manderscheid, "Base change and theta correspondence for supercuspidal representations of SL(2,F)"
  
• Daniel File, "Integral representations for the degree 5 L-function for GSp(4)"
  
• A. Raghuram, "Cohomology and special values of L-functions for GL(2n)"
  
  
  
• Here are seminar talks at University of Utah:
  
  
• Monty McGovern, "Rational Singularity of Nilpotent Varieties"
  
• Gordan Savin, "A Tale of Two Hecke Algebras"
  
• Skip Garibaldi, "Are matrix groups determined by their maximal tori?"
  
• Colleen Robles, "Representation theory in Hodge theory"
  
• Mark Reeder, "Formal degrees and the local Langlands correspondence"
  
• Mark Reeder, "Geometric Invariant Theory and epipelagic representations of p-adic groups"
  
• Hung Yean Loke, "Exceptional Lie algebras and a construction of Jacques Tits"
  
• Aaron Wood, "A minimal type for the 2-adic Weil representation"
  
• Marty Weissman, "Metaplectic Groups and Langlands Program"
  
• Dragan Milicic, "Geometry and Unitarity"
  
• Wilfred Schmid, "Hermitian Forms on Harish Chandra Modules"
  
• Dan Ciubotaru, "Formal Degrees of p-adic Groups"
  
• Mike Woodbury, "Subconvexity, Triple Product L-functions, and Trilinear Forms"
  
• Ben Trahan, "Functorial Shimura Correspondence for Metaplectic Gruops"
  
  
  
• Here are some talks from the ATLAS conference in Salt Lake City, UT, July 2010:
  
  
• Jeffrey Adams, "Notes on Character Theory"
  
• Peter Trapa, "Attaching highest weights to W-representations, and Dirac Cohomology"
  
• Peter Trapa, "Cells and Associated Varieties"
  
• Monty McGovern, "Slicing and Dicing the Flag Variety"
  
• Gordan Savin, "Some Remarks about McGovern's Ideal"
  
  
  
• Here are talks from the Joint Mathematics Meetings in San Francisco, January 2010:
  
  
• Jeffrey Adler, "Tamely Ramified Tori - preliminary report"
  
• Moshe Adrian, "A New Construction of the Tame Local Langlands Correspondence for GL(n,F), n a prime"
  
• Jiu-Kang Yu, "Moy-Prasad Theory and Vinberg Theory"
  
• Joshua Lansky, "Tame Supercuspidal Representations of GL(n) Distinguished by Orthogonal Groups"
  
• Paul Baum, "Geometric Structure in the Representation Theory of Reductive p-adic Groups"
  
• Ricardo Portilla, "Parameterizing Nilpotent Orbits in p-adic Symmetric Spaces"
  
  
  
• Here are talks from the p-adic Langlands Program conference in Seville, Spain, October 2009:
  
  
• Gaetan Chenevier, "Number fields with prescribed ramification and self-dual representations of GL(2n)"
  
• Jean Francois Dat, "Cohomological methods in the Langlands program"
  
• Vincent Secherre, "Unramified representations of p-adic groups and Satake isomorphism, Satake Parameters"
  
• Shaun Stevens, "Introduction to Reductive Groups"
  
• Shaun Stevens, "Introduction to Representation Theory of Reductive p-adic Groups"
  
• Wee Teck Gan, "Introduction to L-functions, I"
  
• Wee Teck Gan, "Introduction to L-functions, II"
  
• Guy Henniart, "Summary on Vigneras work on mod l representations of GL(n,F)"
  
• James Cogdell, "Introduction to Functoriality"
  
• Pierre Henri Chadouard, "Automorphic Forms on GL(2)"
  
• Jose Tornero, "Introduction to Class Field Theory"
  
  
  
• Here are seminar talks at University of Maryland:
  
  
• Alan Roche, "Signs and Self-dual Representations"
  
• Amin Gholampour, "DT Theory, GW Theory, and Quantum McKay Correspondence"
  
• Andrei Zelevinsky, "Quiver Representations"
  
• Andrew Snowden, "A New Proof of the Jacquet-Langlands Correspondence"
  
• Ching-Li Chai, "Abelian Varieties not Isogenous to Jacobians"
  
• David Kazhdan, "Model Theory and p-adic Analysis"
  
• David Speyer, "A Beautiful Stratification of the Grassmanian"
  
• Dmitry Gourevitch, "Smooth Transfer of Kloosterman Integrals"
  
• Elizabeth Beazley, "Non-emptiness for Deligne-Lusztig Varieties"
  
• Ellen Eischen, "p-adic Differential Operators on Automorphic Forms"
  
• Eric Sommers, "Two Partially Ordered Sets arising from Nilpotent Orbits"
  
• Fiona Murnaghan, "Spherical Characters, Supercuspidal Representations"
  
• Florian Herzig, "Classification of irred mod p representations of GL(n,Qp)"
  
• Frank Calegari, "The Cohomology of Arithmetic Groups "
  
• Freydoon Shahidi, "Complexity of Group Actions, Bessel Functions, and Stability of Root Numbers "
  
• Freydoon Shahidi, "Modular Forms, Spectral Theory, Langlands Program"
  
• James Cogdell, "Functoriality"
  
• James Parson, "The Theory of Equations"
  
• Jeffrey Adams, "The Oscillator Representation and Gauss Sums"
  
• Jeffrey Adams, "The Tits Group"
  
• Jeffrey Adams, "Unipotent Rep'ns, Arthur's Conjecture over p-adic Fields"
  
• Jeffrey Adams, "The Unitary Dual"
  
• Jeffrey Adams, "The Unitary Dual (continued)"
  
• Jeffrey Hakim, "Supercuspidal Representations and Symmetric Spaces"
  
• Jens Funke, "Spectacle Cycles and Modular Forms of Half-Integral Weight"
  
• Joel Bellaiche, "Trace Formula for Cocompact Quotients"
  
• Kevin Wilson, "A New Description of the Bruhat-Tits Group Scheme"
  
• Michael Harris, "Unitary Dual Pairs and Local,Global Langlands Program"
  
• Niranjan Ramachandran, "The Weil Group"
  
• Niranjan Ramachandran, "Analogue of BSD for elliptic curves over C"
  
• Ryan Vinroot, "Klyatchko Models for General and Unitary p-adic groups"
  
• Samit Dasgupta, "Hilbert Modular Forms and the Gross-Stark Conjecture"
  
• Sean Rostami, "The Satake Isomorphism for Special Parahoric Subgroups"
  
• Shuichiro Takeda, "Non-Vanishing of Global Theta Lifts"
  
• Solomon Friedberg, "Models for Metaplectic Groups and Crystal Graphs"
  
• Stephen DeBacker, "Generalized R-Facets - A Primer"
  
• Sug Woo Shin, "Galois Representations"
  
• Sug Woo Shin, "Plancherel Density Thm for Automorphic Representations"
  
• Tasho Kaletha, "Depth Zero LLC and Endoscopic Transfer"
  
• Thomas Haines, "Base Change Fundamental Lemma"
  
• Thomas Haines, "Parahoric Subgroups and the Kottwitz Homomorphism"
  
• Thomas Haines, "Bernstein Center and the Langlands Program"
  
• Thomas Nevins, "Hilbert Schemes and Cotangent Bundles"
  
• Tonghai Yang, "A Modified Gross-Zagier Formula"
  
• Tony Pantev, "Geometric Langlands and non-abelian Hodge Theory"
  
• Vivek Dhand, "Geometric Langlands Duality and Forms of Reductive Groups"
  
• Yiannis Petridis, "Stability of cuspidal spectrum of reductive quotients"
  
• Yakov Varshavsky, "Transfer of Deligne-Lusztig Functions"
  
• Yakov Varshavsky, "Towards a global Langlands program over function fields"
  
  
  
• Here are notes from University of Windsor Conference, December 2009:
  
  
• Bogdan Ion, "On Kazhdan-Lusztig Polynomials"
  
• Dan Ciubotaru, "Formal Degrees and Affine Hecke Algebras"
  
• Gerald Gottsbacher, "Modular Forms for SO(n,2)"
  
• Jeffrey Adams, "The Contragredient Conjecture and Spherical Unitary Dual"
  
• Tatiana Howard, "Maximal Equal Rank Subgroups of Real Groups"
  
• Yiannis Sakelleridis, "Period Integrals, Spherical Characters, Wonderful Compactification"
  
  
  
• Here are notes from the Real Groups Conference in July, 2009:
  
  
• Shrawan Kumar, "Cachazo-Douglas-Seiberg-Witten Conjecture"
  
• Dan Ciubotaru, "Functors for unitary representations"
  
• George Lusztig, "From algebraic groups to symmetric spaces"
  
• Gordon Savin, "Hecke algebras for metaplectic groups"
  
• Michael Brion, "Cohomology ring of algebraic groups"
  
• Monty McGovern, "Rational smoothness for nilpotent orbits"
  
• Patrick Delorme, "A twisted invariant Paley-Wiener theorem for real reductive groups"
  
• Roger Howe, "Maxwell's equations and the dual pair (O(p,q),osp(2,2))"
  
• Wilfred Schmid, "Good filtrations on (g,K)-modules"
  
  
  
• Here are notes from the Real Groups Workshop in July, 2009:
  
  
• Jeffrey Adams, "Lectures on Atlas algorithm"
  
• David Vogan, "Lectures on Representation theory of real groups"
  
• Peter Trapa, "Lectures on Symmetric subgroups/geometry of flag varieties"
  
• Freydoon Shahidi, "Lectures on Automorphic forms/representation theory"
  
• Eric Sommers, "Lectures on Geometry of nilpotent orbits"
  
• John Stembridge, "Lectures on Combinatorics of W-graphs"
  
  
  
• Here are notes from the Geometry of Langlands Program Workshop in May, 2009:
  
  
• David Treumann, "Lectures 1 and 2 on Introduction to Perverse Sheaves"
  
• Clifton Cunningham, "Lectures 1 and 2 on Introduction to Character Sheaves"
  
• Ioan Badulescu, "Lectures 1-4 on Introduction to Jacquet-Langlands Correspondence"
  
• Pierre-Henri Chadouard, "Lectures 1-4 on Introduction to Fundamental Lemma"
  
  
• Here are notes from the Geometry of Langlands Program Conference in May, 2009:
  
  
• Atsushi Ichino, "Formal degrees and adjoing gamma factors"
  
• Hadi Salmasian, "On character sheaves"
  
• Jeffrey Adler, "Base change for depth zero representations"
  
• Jeremy Sylvestre, "Characters for non-connected reductive groups"
  
• Mark Reeder, "Simple Wild Parameters"
  
• Paul Mezo, "Spectral transfer factors for real groups"
  
  
  
• Here are notes from ATLAS workshops in 2008:
  
  
• Dan Barbasch, "Dirac Cohomology and Small Representations"
  
• Dan Ciubotaru, "Unitarity for p-adic Ramified Principal Series"
  
• David Vogan, "Affine Weyl Groups"
  
• David Vogan, "Computing Ind functors from rep'ns of Levis to rep'ns of groups"
  
• David Vogan, "Honest Arthur Packets"
  
• David Vogan, "Nilpotent Orbits, Cells, Springer Correspondence"
  
• Jeffrey Adams, "Stability of Characters"
  
• Jeffrey Adams, "Stable Virtual Characters, Arthur Packets, Associated Varieties, Cycles"
  
• Peter Trapa, "K orbits on the partial Flag Variety"
  
• Peter Trapa, "Partial Order on Cells, Closure Order on Nilpotent Orbits"
  
• Stephen Jackson, "Decomposing Cell Representations into Irreducibles"
  
• Tatiana Howard, "Lifting of Stable Characters for p-adic groups"
  
  
  

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