Event Type:

Number Theory Seminar

Date/Time:

Tuesday, April 19, 2016 - 16:00 to 17:00

Location:

StAg 263

Abstract:

Translation surfaces can be viewed as polygons with parallel and equal sides identified. A homeomorphism on a translation surface to itself is called pseudo-Anosov when its derivative is a constant matrix in SL2(R) whose trace is larger than 2. We apply Veech's construction of pseudo-Anosov homeomorphisms (by Rauzy-Veech induction) to produce infinite families of pseudo-Anosov maps in the stratum H(2,2) with vanishing Sah-Arnoux-Fathi invariant, as well as sporadic examples in other strata.