Algebraic periodicity and scissors congruence for translation surfaces

Geometry & Topology
Event time: 
Thursday, April 12, 2007 - 12:30pm to Wednesday, April 11, 2007 - 8:00pm
431 DL
John Smillie
Speaker affiliation: 
Event description: 

Calta introduced Property X for the purpose of detecting
genus two translation surfaces with the mysterious lattice property.
McMullen looks at a related invariant for the same purpose in his
work on genus two. I will describe joint work with Kariane Calta
where we explain how these invariants are connected, how they behave
for surfaces of higher genus and how they are connected to scissors
congruence and the J-invariant.