報(bào)告人: 劉毅 北京大學(xué)國際數(shù)學(xué)中心( BICM）
時(shí)間: 11月10日,下午4:00---5:00
地點(diǎn): 交大犀浦校區(qū)X2511
Title：Degree of $L^2$-Alexander torsion for 3-manifolds
Abstract：For an irreducible orientable compact $3$-manifold $N$ with
empty or incompressible toral boundary, the full $L^2$--Alexander torsion
$\tau^{(2)}(N,\phi)(t)$ associated to any real first cohomology class $\phi$ of
$N$ is represented by a function of a positive real variable $t$. In this talk,
I will show that $\tau^{(2)}(N,\phi)$ is continuous, everywhere positive, and
asymptotically monomial in both ends. Moreover, the degree of
$\tau^{(2)}(N,\phi)$ equals the Thurston norm of $\phi$.
