Noncommutative Geometry Seminar

Periods in Perturbative Quantum Field Theory

Emad Nasrollahpoursamani, Graduate Student, Mathematics, Caltech,

Periods are integrals of rational differential forms on real

semialgebraic sets. Rational linear combination of Multiple zeta values

are certain well studied subset of periods which form an algebra. These

numbers appear in the beta function of perturbative quantum field theories

but they are not enough to express all of them. Recently there has been a

lot of effort to find a bigger algebra of periods which contain real

numbers coming from QFT's. In this talk I will explain some recent results

in this direction.

Event Sponsors:

For more information, please contact Farzad Fathizadeh by email at [email protected] or visit http://www.math.caltech.edu/~ncg/.