Question

This scientist discovered structures where the stable and unstable manifolds of a fixed point intersect infinitely called homoclinic tangles. Élie Cartan (“ay-LEE car-TAWN”) used differential forms to express this scientist’s integral invariants, one of which requires the sum of the oriented areas of projections onto canonical planes to be preserved. After discovering an error in his own work, this scientist paid to recall his paper that had won a prize awarded by (10[1])King Oscar (-5[1])II (“the second”). This scientist proved that a Hamiltonian system with a finite phase space volume will return arbitrarily (10[1])close (10[2])to its initial state (10[2])infinitely (10[2])many times. (10[2])The state space of a dynamical system can be visualized with this scientist’s namesake (10[1])sections. (-5[1])This scientist names the group (10[1])of isometries of Minkowski (10[1])(“min-KOF-skee”) spacetime. (10[1])For 10 points, (10[1])every simply connected, closed 3-manifold is homeomorphic to the 3-sphere by (10[1])what (10[1])French mathematician’s (10[2])conjecture? ■END■ (10[1])

ANSWER: Henri Poincaré (“awn-REE pwahn-kah-RAY”) [accept Poincaré conjecture; accept Poincaré group; accept Poincaré sections; accept Poincaré recurrence theorem; accept Poincaré–Cartan integral invariants]
<Physics>
= Average correct buzz position

Summary

2023 ACF Nationals04/22/2023Y20100%0%10%108.95

Buzzes

PlayerTeamOpponentBuzz PositionValue
Yared TadesseCornell BStanford A6910
Max BrodskyIllinois AGeorgia Tech A71-5
Adam FineChicago AMinnesota A8810
Kevin YeUC Berkeley BMcGill A8910
Vivek SasseChicago BIowa State A8910
Geoffrey ChenCornell AImperial A9310
Ricky LiMIT AChicago C9310
Seth EbnerJohns Hopkins AVirginia A9410
Raul PassementTexas AOhio State A9410
Leo LawFlorida ASouth Carolina A9610
Simon GorbatyDuke AMichigan A9610
Alex AkridgeIndiana AToronto A11010
Ted GanPenn State AFlorida B111-5
Quynh PhungPurdue AColumbia B11610
Andrew SalijNorthwestern AClaremont A12010
Matthew SiffYale BWUSTL A12110
June YinWUSTL BRutgers B12410
Arya KarthikGeorgia Tech AIllinois A13510
Aum MundheRutgers AHarvard A13610
Aidan FeinVanderbilt AHouston A13810
Raymond JiangGeorgia Tech BNYU A13810
Jeya IyaduraiFlorida BPenn State A14010