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The subject of this project is representation theory and applications to number theory and arithmetic geometry. More details on the project will be provided here as they become available.
The working group will be led by Joseph Stahl, Alexander Bertoloni Meli, and Shishir Agrawal. To participate in this working group, send an email to one of these organizers.
Both students and faculty are encouraged to participate in the working groups.
References:
- Robert Guralnick's 2014 ICM proceedings exposition. Available here. (Page 175)
- Fein, B., Kantor, W., and Schacher, M., Relative Brauer groups. II, J. Reine Angew. Math. 328 (1981), 39–57.
- Frohardt, D. and Magaard, K., Composition factors of monodromy groups, Ann. of Math. 154 (2001), 327–345.
- Guralnick, R., Zeroes of permutation characters with applications to prime splitting and Brauer groups, J. Algebra 131 (1990), 294–302. Available here.
- Guralnick, R., Monodromy groups of coverings of curves, in Galois groups and fundamental groups, 1–46, Math. Sci. Res. Inst. Publ. 41, Cambridge Univ. Press, Cambridge, 2003.
- Guralnick, R. and Neubauer, M., Monodromy groups of branched coverings: the generic case, in Recent developments in the inverse Galois problem (Seattle, WA, 1993), 325–352, Contemp. Math. 186, Amer. Math. Soc., Providence, RI, 1995.
- Guralnick, R. and Saxl, J. Monodromy groups of polynomials, in Groups of Lie type and their geometries (Como, 1993), 125–150, London Math. Soc. Lecture Note Ser., 207, Cambridge Univ. Press, Cambridge, 1995.
- Guralnick, R. and Shareshian, J., Symmetric and alternating groups as monodromy groups of Riemann surfaces. I, Generic covers and covers with many branch points, With an appendix by Guralnick and R. Stafford, Mem. Amer. Math. Soc. 189 (2007), no. 886.
- Guralnick, R. and Wan, D., Bounds for fixed point free elements in a transitive group and applications to curves over finite fields, Israel J. Math. 101 (1997), 255–287.
- Jantzen, J., Low-dimensional representations of reductive groups are semisimple, in Algebraic groups and Lie groups, 255–266, Austral. Math. Soc. Lect. Ser. 9, Cambridge Univ. Press, Cambridge, 1997.
- Larsen, M. and Pink, R., Finite subgroups of algebraic groups, J. Amer. Math. Soc. 24 (2011), 1105–1158.
- Magaard, K. and Völklein, H., The monodromy group of a function on a general curve, Israel J. Math. 141 (2004), 355–368.
- Nori, M., On subgroups of GLn(Fp), Invent. Math. 88 (1987), 257–275.
Problem Sets:
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