Talks and Presentations
This page is a descendant of my preprints and publications page, specifically for notes from talks and other presentations. Many of these were produced using Beamer; some of the older ones were produced using Prosper. For more on formats, see the key to format types. In most cases, I have corrected typos that I found during the presentation.
Now that these are on a separate page, I might sort them in a meaningful way at some point. Right now, they are all in one list, sorted by reverse chronological order.
|Formats||Title and Venue|
|Convergence of solutions of p-adic differential equations, Hawaii conference in algebraic number theory, arithmetic geometry and modular forms, Honolulu, March 2012.|
|On surjectivity of the Witt vector Frobenius, AMS western sectional meeting, Honolulu, March 2012.|
|The Sato-Tate conjecture for elliptic and hyperelliptic curves, New Zealand Mathematical Society colloquium, December 2011. (I used similar slides for talks at CSU Dominguez Hills, UCLA, and National University of Singapore.)|
|Controlled reduction in the p-adic cohomology of toric hypersurfaces, Number theory, algebraic geometry, and model theory, CIRM, Luminy, September 2011.|
|Towards a precise Sato-Tate conjecture in genus 2, Explicit methods in number theory, Oberwolfach, July 2011.|
|Toric coordinates in relative p-adic Hodge theory, Toric geometry and applications, Leuven, June 2011.|
|Towards uniformity in p in p-adic Hodge theory, Théorie de Hodge p-adique, équations différentielles p-adiques et leurs applications, Lyon, June 2011.|
|The p-adic arithmetic curve: algebraic and analytic aspects, Noncommutative geometry and arithmetic, Johns Hopkins, March 2011.|
|Effective convergence bounds for Frobenius structures on connections, From p-adic differential equations to arithmetic algebraic geometry, Padova, February 2011.|
|Absolute de Rham cohomology? A fantasy in the key of p, Witt vectors, foliations, and absolute de Rham cohomology, Nagoya, November 2010.|
|Irregularity of flat meromorphic connections, Western Algebraic Geometry Symposium, Tucson, November 2010.|
|Relative p-adic Hodge theory and Rapoport-Zink period domains, International Congress of Mathematicians, Hyderabad, August 2010.|
|Relative (phi, Gamma)-modules, Galois representations in arithmetic and geometry (ICM 2010 satellite conference in number theory), International Centre, Goa, August 2010.|
|Numerical p-adic integration and (potential) applications to rational points, Rational points: theory and experiment, ETH, Zürich, May 2010.|
|Relative p-adic Hodge theory and Rapoport-Zink period domains, Conférence Jean-Marc Fontaine, Paris, March 2010.|
|Getting precise about precision, Effective methods in p-adic cohomology, Oxford, March 2010.|
|Slope filtrations and (phi, Gamma)-modules in families, Galois Trimester, Paris, January 2010.|
|Rigid cohomology and its coefficients, p-adic geometry and homotopy theory, Loen, August 2009.|
Semistable reduction for overconvergent F-isocrystals: geometric
aspects of the proof, Journées de Géométrie
Arithmétique de Rennes, July 2009.
These slides can be used as a summary of my four papers on this topic; they are a modified version of my Strasbourg slides. For more information, see my project page.
|Computing L-series of hyperelliptic curves and distributions of Frobenius eigenvalues, Park City Mathematics Institue, July 2009.|
|tex, pdf||Computing zeta functions of hyperelliptic curves, Leiden, April 2009.|
Semistable reduction for overconvergent F-isocrystals,
Recent progress in arithmetic D-modules,
Strasbourg, October 2008.
I recommend looking at my Rennes notes instead; see above.
Product-free subsets of groups, then and now,
University of Minnesota, Duluth, July 2007.
This presentation was made in honor of Joe Gallian's 65th birthday, and the 30th anniversary of the REU (Research Experience for Undergraduates) program he runs every summer. Joe has a famous predilection for all things Beatles; the slide titles are a running joke based on this.
|tex, pdf||The differential Swan conductor, p-adic methods in arithmetic geometry and its applications, University of Tokyo, June 2007.|
|tex, pdf||A differential approach to computing zeta functions over finite fields, Joint AMS-SMM Meeting, Zacatecas, May 2007.|
|tex, pdf, SAGE notebook||
Numerical computation of Coleman integrals,
p-adic Methods and Rational Points,
Rényi Institute, Budapest, May 2007.
The SAGE notebook was used as a demonstration during the talk.
Recent progress on p-adic computation
of zeta functions, Computational Challenges Arising in Algorithmic
Number Theory and Cryptography, Fields Institute (Toronto),
This is similar but not identical to the following talk.
|tex, pdf||Recent progress on p-adic computation of zeta functions, Number Theory and Cryptography: Open Problems, IPAM (UCLA), October 2006.|
Convergence of solutions of differential equations and higher-dimensional ramification theory, Hodge Theory, Venice,
Some of the results promised in this talk will appear in "Semistable reduction IV"; see above.
|tex, dvi, ps.gz, pdf||
Computing zeta functions of surfaces using
p-adic cohomology, AMS Western Section
Meeting, San Francisco, CA, April 2006.
For the paper corresponding to this talk, see "Bounding Picard numbers..." above.
Slope filtrations for relative Frobenius, AMS Eastern Section
Meeting, Durham, NH, April 2006.
For the paper corresponding to this talk, see "Slope filtrations for relative Frobenius" or "Notes on slope filtrations" above.
|tex, dvi, ps.gz, pdf||
Primality testing made simple, notes for the MIT IAP 2006
Mathematics Lecture Series (27 Jan 2006).
This is a presentation on the Agrawal-Kayal-Saxena deterministic polynomial time primality test.
|tex, dvi, ps.gz, pdf||
Computing zeta functions on surfaces, AGCT-10 (Arithmetic,
Geometry, and Coding Theory), CIRM-Luminy, September 2005.
Caution: the code seems to have not been bug-free when I prepared the examples in the talk, so the accuracy (especially of the timings) of those examples is dubious. For corrected examples and the Magma code, see the paper "Bounding Picard numbers of surfaces using p-adic cohomology" on my papers page.
|tex, dvi, ps.gz, pdf||The Fourier transform on the affine line and the Weil Conjectures, AMS session on D-modules, Atlanta, January 2005 (posted 9 Jan 2005).|
|ppt||Problems talk, Math Circles and Olympiads workshop, MSRI, December 2004 (version of 18 Dec 2004).|
|tex, dvi, ps.gz, pdf||Solving p-adic differential equations on some two-dimensional spaces, CNTA8, Toronto, June 2004 (version of 15 June 2004).|
|tex, dvi, ps.gz, pdf||Computing zeta functions using p-adic cohomology, ANTS VI, Vermont (Burlington), June 2004 (version of 16 Jun 2004).|
|tex, dvi, ps.gz, pdf||Relative Robba rings and pushforwards in rigid cohomology, Arithmetic Geometry, Tokyo, February 2004 (version of 17 Feb 2004).|
|tex, dvi, ps.gz, pdf||p-adic Lafforgue: a road map, Arithmetical Algebraic Geometry special session, AMS-MAA Joint Meetings, Phoenix, January 2004 (version of 5 Jan 2004).|
|tex, dvi, ps.gz, pdf||Frobenius slope filtrations and Crew's conjecture, notes from the workshop "Current trends in arithmetic geometry and number theory" at the Banff International Research Station, August 17-21, 2003 (version of 20 Aug 2003).|
|tex, dvi, ps.gz, pdf||Crystals, Crew's conjecture, and cohomology, notes from a series of three lectures at the University of Arizona given May 8-9, 2003 (version of 12 May 2003).|
|tex, dvi, ps.gz, pdf||p-adic cohomology and zeta functions: the case of hyperelliptic curves, slides from a lecture at the conference "Computational Aspects of Algebraic Curves, and Cryptography" (Florida), March 2003.|
|tex, dvi, ps.gz, pdf||Interval arithmetic for function fields over finite fields, slides from a lecture at the Computational Algebraic and Analytic Geometry for Low-dimensional Varieties session, AMS meeting (Baltimore), January 2003 (version of 23 Dec 2002).|
|tex, dvi, ps.gz||p-adic cohomology and the computation of zeta functions, slides from a lecture at the Elliptic Curve Cryptography conference (Essen), September 2002 (version of 12 Sep 2002).|
|tex, dvi, ps.gz||Counting points on hyperelliptic curves using Monsky-Washnitzer cohomology, slides from a lecture at the Midwest Arithmetical Geometry in Cryptography conference, November 2001.|
- tex: TeX file (plain text)
- dvi: DVI file (view with xdvi)
- pdf: PDF file (view with Acrobat Reader, ggv, etc.)
- ps.gz: compressed Postscript file (uncompress with gunzip, then view with GhostScript; note that your browser may uncompress automatically)
- sws: SAGE notebook file
- ppt: PowerPoint presentation (view with OpenOffice Impress)