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Michael Lipnowski " Growth of the smallest 1-form eigenvalue on hyperbolic manifolds"
Start Date: 9/13/2017Start Time: 11:00 AM
End Date: 9/13/2017End Time: 12:00 PM
Event Description:
Speaker: Michael Lipnowski (Toronto)

Title: Growth of the smallest 1-form eigenvalue on hyperbolic manifolds and applications to torsion homology growth

Abstract: Joint work with Mark Stern. We relate small 1-form eigenvalues to relative cycle complexity on hyperbolic manifolds: small eigenvalues correspond to closed geodesics no multiple of which bounds a surface of small genus. We describe potential applications of this equivalence principle toward proving optimal torsion homology growth in families of congruence, arithmetic hyperbolic 3-manifolds.
Location Information:
Homewood - Krieger
Room: 413
Remarks:
Department of Mathematics
Number Theory Seminar

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