34 citations · 84 across the 16 of their papers we have counts for
4 papers · 1 filter
Rigidity in the invariant theory of compact groups
Michael J. Larsen
A compact Lie group G and a faithful complex representation V determine a Sato-Tate measure, defined as the direct image of Haar measure on G with respect to the character of V. We…
Rationality criteria for motivic zeta-functions
Michael J. Larsen, Valery A. Lunts
The zeta-function of a complex variety is a power series whose nth coefficient is the nth symmetric power of the variety, viewed as an element in the Grothendieck ring of complex v…
Word maps have large image
Michael Larsen
An element w in the free group on r letters defines a map f from G^r to G for each group G. In this note, we show that whenever w is non-trivial and G is a semisimple algebraic gro…
The support problem for abelian varieties
Michael Larsen
Let be an abelian variety over a number field . If and are -rational points of such that the order of the reduction of divides that of for all but fin…