IPM

                                پژوهشگاه دانش‌های بنیادی
پژوهشکدهٔ ریاضیات


Geometry and Topology Weekly Seminar سمینار هفتگی هندسه و توپولوژی




TITLE  
Counting Minimal tori in Riemannian Manifolds


SPEAKER  
Narges Bagherifard  
IPM  
 


TIME  
Wednesday, July 10, 2024,   15:30 - 17:00


VENUE   Lecture Hall 1, Niavaran Bldg.



SUMMARY

 

The problem of counting closed geodesics in Riemannian Manifolds of con- stant negative curvature has been of interest for many years. A method for counting geodesics in manifolds with arbitrary curvature is introduced by Eftekhary. Minimal surfaces in a Riemannian manifold are higher dimensional gener- alizations of closed geodesics. A natural question is how to count these types of submanifolds. We introduce a function which counts minimal tori in a Riemannian manifold (M, g) with dim M > 4. Moreover, we show that this count function is invariant under perturbations of the metric. Looking forward to seeing you organizers

 




تهران، ضلع‌ جنوبی ميدان شهيد باهنر (نياوران)، پژوهشگاه دانش‌های بنيادی، پژوهشکده رياضيات
School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Niavaran Bldg., Niavaran Square, Tehran
ipmmath@ipm.ir   ♦   +98 21 22290928   ♦  math.ipm.ir