»ã±¨±êÌâ (Title)£ºMeasure doubling for small sets in SO(3,R)£¨SO(3,R)ÖÐÓ×¼¯ÖеIJâ¶È¼Ó±¶£©

»ã±¨ÈË (Speaker)£º¾£Ò»·²£¨University of Oxford£©

»ã±¨¹¦·ò (Time)£º2023Äê8ÔÂ7ÈÕ(ÖÜÒ») 16:10-17:10

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿ F309

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­

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»ã±¨ÌáÒª£ºLet SO(3,R) be the 3D-rotation group equipped with the real-manifold topology and the normalized Haar measure ¦Ì. Confirming a conjecture by Breuillard and Green, we show that if A is an open subset of SO(3,R) with sufficiently small measure, then ¦Ì£¨A^2 £©>3.99¦Ì£¨A£©. This is joint work with Chieu-Minh Tran (NUS) and Ruixiang Zhang (Berkeley).