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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

Displaying all lectures given by: Matilde Marcolli


PIRSA:18080052  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Homotopy types and geometries below Spec(Z)
Speaker(s): Matilde Marcolli
Abstract: This talk is based on joint work with Yuri Manin. The idea of a “geometry over the field with one element F1” arises in connection with the study of properties of zeta functions of varieties defined over Z. Several different versions of F1 geometry (geometry below Spec(Z)) have been proposed ... read more
Date: 15/08/2018 - 12:00 pm

PIRSA:17030049  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Arithmetic Structures in Spectral Models of Gravity
Speaker(s): Matilde Marcolli
Abstract: The spectral action functional of noncommutative geometry provides a model of Euclidean (modified) gravity, possibly coupled to matter. The terms in the large energy asymptotic expansion of the spectral action can be computed via pseudodifferential calculus. In the case of highly s... read more
Date: 03/03/2017 - 3:00 pm
Series: Colloquium

PIRSA:15090060  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Spectral Action Models of Gravity and Packed Swiss Cheese Cosmology
Speaker(s): Matilde Marcolli
Abstract: We consider the spectral action as an action functional for modified gravity on a spacetime that exhibits a fractal structure modeled on an Apollonian packing of 3-spheres (packed swiss cheese) or on a fractal arrangements of dodecahedral spaces. The contributions in the asymptotic expansion of the ... read more
Date: 12/09/2015 - 2:30 pm

PIRSA:15050066  ( MP4 Medium Res , MP3 , PDF ) Which Format?
A motivic approach to Potts models
Speaker(s): Matilde Marcolli
Abstract: I will give an overview of the algebro-geometric approach to Feynman integral in perturbative quantum field theory and the occurrence of motives and periods in parametric Feynman integrals in momentum space, focusing on joint work with Paolo Aluffi.
Date: 29/05/2015 - 1:30 pm

PIRSA:15050061  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Feynman integrals and motives in configuration spaces
Speaker(s): Matilde Marcolli
Abstract: This talk will cover aspects of Feynman integral computations in configuration spaces, and some related mathematical problems, and the occurrence of motives and periods, focusing on joint work with Ozgur Ceyhan.
Date: 28/05/2015 - 1:30 pm

PIRSA:15050057  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Colloquium
Speaker(s): Matilde Marcolli
Abstract: I will give an overview of the algebro-geometric approach to Feynman integral in perturbative quantum field theory and the occurrence of motives and periods in parametric Feynman integrals in momentum space, focusing on joint work with Paolo Aluffi.
Date: 27/05/2015 - 2:00 pm

PIRSA:15040187  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Symbolic dynamics, modular curves, and Bianchi IX cosmologies
Speaker(s): Matilde Marcolli
Abstract:
Date: 23/04/2015 - 11:00 am

PIRSA:14080002  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Algebraic Geometry in Cosmology
Speaker(s): Matilde Marcolli
Abstract: The talk is based on joint work with Yuri Manin (arXiv:1402.2158). Using algebro-geometric blowups it is possible to construct a family of models of gluing of aeons across a Big-Bang type singularity, which includes the case of Penrose's conformally cyclic cosmology, as well as inflationary multiver... read more
Date: 07/08/2014 - 11:00 am

PIRSA:11020110  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Spin Foams and Noncommutative Geometry
Speaker(s): Matilde Marcolli
Abstract: We extend the formalism of embedded spin networks and spin foams to include topological data that encode the underlying three-manifold or four-manifold as a branched cover. These data are expressed as monodromies, in a way similar to the encoding of the gravitational field via holonomies. We then... read more
Date: 23/02/2011 - 4:00 pm

PIRSA:11020109  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Cosmology and the Poisson summation formula
Speaker(s): Matilde Marcolli
Abstract: We show that, in a model of modified gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and inflation, in the sense that the shape of the possible slow-roll inflation potentials obtained in the model from the nonperturbative form of the spectral a... read more
Date: 22/02/2011 - 2:00 pm
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