Matilde Marcolli: Slides

A selection of slides of talks

Older talks
• Renormalization
• Fractional Quantum Hall Effect
• Quantum Statistical Mechanics on Function Fields
• Quantum Statistical Mechanics of Q-lattices
• Noncommutative Geometry and Arithmetic (2003)
• Noncommutative Geometry and Arithmetic (2007)
• Modular Shadows
• Holography Principle
• Solvmanifolds and noncommutative tori
• Coverings and correspondences
• Zeta functions and Riemann surfaces
• Standard Model with Neutrino Mixing
• Renormalization, Galois Symmetries, and motives (ECM Amsterdam)
• Bost-Connes, F_1, 3-manifolds
• Feynman Integrals and Algebraic Geometry
• Noncommutative geometry and the field with one element
• Early Universe Models from Noncommutative Geometry
• Cosmology and the Poisson summation formula

The Cuernavaca Lectures (April 2010):
• Noncommutative Geometry Models for Particle Physics and Cosmology
• Quantum Field Theory and Motives
• How Noncommutative Geometry Looks at Arithmetic

ICM talk
• Noncommutative Geometry and Arithmetic

Adem Memorial Lectures, Cinvestav, Mexico City, January 2011
• Cosmology and the Poisson summation formula
• Solvmanifolds and noncommutative tori with real multiplication
• Quantum statistical mechanics, L-series and anabelian geometry

Harvard Colloquium
• Quantum statistical mechanics and anabelian geometry (March 24, 2011)

String-Math Conference, Philadelphia
• Motives in Quantum Field Theory (June 9, 2011)

"Noncommutative geometry models in particle physics and cosmology", lectures at the Villa de Leyva summer school "Geometric, Algebraic and Topological methods for Quantum Field Theory" (July 3-8, 2011)
• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4

MPI, December 2011
• Noncommutative Numerical Motives and the Tannakian formalism

Lorentz Center, March 2012
• Quantum Statistical Mechanics, Kolmogorov Complexity, and the asymptotic bound of error-correcting codes

Two informal talks at the Banff meeting "Novel approaches to the finite simple groups", April 2012
• From CFT to CFT?
• Multiplicative genera for noncommutative manifolds?

General audience talks

• Can you hear the shape of the cosmos? (general audience talk, Revolution Books, Berkeley, April 2011)
• The dark heart of our brightness: bipolar disorder and scientific creativity (general audience lecture given at Caltech, April 2010)
• Mathematicians look at particle physics (general audience talk for the "Year of Mathematics" Bonn 2008 and Revolution Books Berkeley, March 2009)
• The notion of space in mathematics (general audience talk at Revolution Books, Berkeley, April 2009)

Lectures on video

• Cosmology and the Poisson summation formula Perimeter Institute 2011
• Spin foams and noncommutative geometry Perimeter Institute 2011
• The dark heart of our brightness: bipolar disorder and scientific creativity Caltech 2010 (second lecture on the video)
• KMS states and complex multiplication Banff 2006
• Quantum Field Theory and Motives 1, Vanderbilt 2005
• Quantum Field Theory and Motives 2, Vanderbilt 2005
• Quantum Field Theory and Motives 3, Vanderbilt 2005
• Quantum Field Theory and Motives 4, Vanderbilt 2005

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