Poziv na predavanje na engleskom jeziku Geometric invariants of groups: divergence of geodesics

Odjel za matematiku Sveučilišta Josipa Jurja Strossmayera u Osijeku organizira predavanje Geometric invariants of groups: divergence of geodesics, na engleskom jeziku

NAJAVA – Predavanje će se održati u subotu, 24. svibnja 2014. godine s početkom u 17 sati u predavaonici broj 36 na Odjelu za matematiku Sveučilišta Josipa Jurja Strossmayera u Osijeku (Trg Ljudevita Gaja 6).

Predavanje će održati:

• dr. Nataša Macura, Associate Professor, Department of Mathematics, Trinity University, San Antonio, Texas, USA

S obzirom da je riječ o predavanju na engleskom jeziku, na tom jeziku objavljujemo i kratak opis predavanja:

We will introduce divergence of geodesics as a geometric invariant of groups, and discuss its place in the context of current research in geometric group theory. We will describe a construction of a family of finite 2-complexes whose universal covers are CAT(0) with polynomial divergence of geodesics of desired degree. These examples answer a question of Gersten if such CAT(0) complexes exist. Gersten posed this question after constructing a CAT(0) 2-complex with quadratic divergence and therefore showing that the expectation, which he attributes to Gromov, that geodesics diverge either linearly or exponentially in non-positively curved spaces fails for CAT(0) complexes.