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Attend a comprehensive conference celebrating the intersection of mathematics and physics in perturbative quantum field theory, featuring 23 hours and 43 minutes of expert presentations from leading researchers worldwide. Explore the profound mathematical structures underlying Feynman diagrams, renormalization theory, and quantum field calculations that are essential for precision physics at facilities like the LHC. Discover connections between quantum field theory and diverse mathematical areas including algebraic geometry, combinatorial Hopf algebras, noncommutative geometry, tropical curves, and moduli spaces. Learn from established scientists and emerging researchers as they present cutting-edge work on topics ranging from Feynman integral calculations and geometric splitting techniques to Wick products, gauge theories, and random loops. Examine the role of combinatorial structures in renormalization, multiple zeta values, graph complexes, and their applications to understanding fundamental physics. Gain insights into advanced mathematical tools including regularity structures, Bogoliubov recursions, toric Hall algebras, and resurgent trans-series analysis. Participate in discussions of open problems and future directions in this rapidly evolving field that bridges pure mathematics and theoretical physics. Experience presentations on worldline integration techniques, elliptic curves associated with loop graphs, solvable Dyson-Schwinger equations, and applications to quantum gravity calculations, all delivered by internationally recognized experts in mathematical physics and quantum field theory.
