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Lagrangian fillings of A-type and their Kalman Loop Orbits
Algebraic Geometry and Number Theory| Speaker: | James Hughes, UC Davis |
| Location: | 1147 MSB |
| Start time: | Tue, Oct 5 2021, 11:00AM |
We consider the action of the Kalman loop on a family of exact Lagrangian fillings of Legendrian (2, n) torus links. In order to describe the orbital structure of this geometric action, we study its induced action on an associated algebraic variety known as the augmentation variety. An identity studied by Euler in the context of continued fractions makes a surprise appearance.