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Brent Pym, Special Colloquium

December 4, 2017 @ 4:00 pm - 5:00 pm

Title: Semi-classical and quantum projective geometry
Abstract: The idea that the abstract noncommutative algebras of quantum mechanics can be understood using geometric techniques and intuition is a pervasive theme in mathematics and physics.  In the 80s and 90s, Artin, Bondal, Kontsevich and others crystallized this philosophy of “noncommutative (or quantum) projective algebraic geometry” into a collection of inspiring problems and conjectures, many of which still remain open.  Recently, there have been several advances based on new insights into the “semi-classical limit”, where noncommutative rings are approximated by geometric spaces known as Poisson manifolds (the phase spaces of classical Hamiltonian mechanics).  I will give an overview of these developments, highlighting the roles played by an eclectic cast of characters, from spinning particles and elliptic curves, to moduli spaces and multiple zeta values.


December 4, 2017
4:00 pm - 5:00 pm
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