"In this talk, I dive deep into the intricate world of quantum field theory (QFT) as we explore its longstanding struggle with infinities. Tracing back to the groundbreaking renormalization procedure introduced by Feynman, Schwinger, and Tomonaga, we'll shed light on its triumphs and limitations. While renormalization successfully addresses initial infinities, I discuss its incapacity to fully deal with formally divergent series appearing in perturbation theory. I will then discuss the newly proposed "Borel-Ecalle summation," a novel enhancement of the classic Borel summation, offering a promising avenue to successfully resum these challenging QFT divergent series. Finally, I will discuss recent applications in Quantum Chromodynamics (QCD) observables".
Refreshments will be served at 3:30pm with the speaker beginning at 4:00pm.