Home /  Reading Group: Re-GRAD Seminar: Fractal closures of geodesic planes in Hitchin manifolds

Seminar

Reading Group: Re-GRAD Seminar: Fractal closures of geodesic planes in Hitchin manifolds February 26, 2026 (04:00 PM PST - 05:15 PM PST)
Parent Program:
Location: SLMath: Baker Board Room
Speaker(s) Subhadip Dey (Tata Institute of Fundamental Research)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

I will explain a recent construction of a Zariski dense Hitchin surface group Γ in SL(3,R) such that the manifold M = Γ \ SL(3,R) / SO(3) contains immersed geodesic planes whose closures are fractal, with non-integer Hausdorff dimensions accumulating at 2. In fact, Γ can be chosen inside SL(3,Z). We'll discuss the main ingredients of the proof, especially the behavior of the nearest-point projection map from the symmetric space to our geodesic plane.

No Notes/Supplements Uploaded No Video Files Uploaded