Periods, Motives, and graphical interpretations thereof
APA
Patashnick, O. (2016). Periods, Motives, and graphical interpretations thereof. Perimeter Institute. https://pirsa.org/16120012
MLA
Patashnick, Owen. Periods, Motives, and graphical interpretations thereof. Perimeter Institute, Dec. 05, 2016, https://pirsa.org/16120012
BibTex
@misc{ pirsa_PIRSA:16120012, doi = {10.48660/16120012}, url = {https://pirsa.org/16120012}, author = {Patashnick, Owen}, keywords = {Mathematical physics}, language = {en}, title = {Periods, Motives, and graphical interpretations thereof}, publisher = {Perimeter Institute}, year = {2016}, month = {dec}, note = {PIRSA:16120012 see, \url{https://pirsa.org}} }
Integral values of zeta functions are important not only for what they say about other values of their respective functions, but also for what they say about transcendence degree questions for appropriate extensions of the rationals or other number fields. They also appear in some recent computations relevant to particle physics.
In this talk we will give a quick introduction to the theory of periods and motives, relate said theory to special values of zeta functions, and discuss a graphical definition of the associated category of motives.
Any original work discussed in this talk is joint with Susama Agarwala.