»ã±¨±êÌâ (Title)£ºRelative expander graphs, metric embeddings into Banach spaces and higher index problems£¨Ïà¶Ô·¢Õ¹Í¼¡¢Banach¿Õ¼äÖеĻ³±§Ç¶ÈëºÍ¸ßÖ¸±êÎÊÌ⣩

»ã±¨ÈË (Speaker)£ºÍõÇÚ ½ÌÊÚ£¨»ª¶«Ê¦·¶´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê4ÔÂ24ÈÕ(ÖÜÈý) 10:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­¡¢Îâ¼ÓÓÂ

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»ã±¨ÌáÒª£ºRelative expanders are families of Cayley graphs whose metric geometry lies in between the geometry of a Hilbert space and that of a genuine expander. They were introduced by Arzhantseva and Tessera in terms of relative Poincare inequalities. In fact, these spaces do not coarsely embed into any uniformly curved Banach space introduced by Pisier. We show that certain relative expanders satisfy the coarse Baum-Connes conjecture and possesses operator K-theory amenability. In this lecture, we will discuss some of key ideas and results in this circle of developments.