The idea of SMUGA is to understand in detail a very specific problem, subject, article, or series of related articles. On this webpage we list the possible topics for future meetings. Everyone is encouraged to suggest another topic.
Go through one of the more recent proofs of Alexander-Hirschowitz theorem and possibly some of the generalisations (i.e. about dimensions of secant varieties to homogeneous spaces): Brambilla-Ottaviani, Postinghel, Abo-Ottaviani-Petersen,... (JB)
Landsberg-Ottaviani and possibly also Oeding-Ottaviani (papers on the vector bundle method to decompose tensors and to seek equations of secant varieties) (JJ, AB, JB)
Stuff about toric degerenerations, for example some of the long papers by M. Gross and B. Siebert. (MDB, GK, JB, JJ)
something about Bridgleand Stability Conditions. (ST, AB)
Read the article of Namikava "Equivalence of symplectic singularities" about (complex) contact orbifolds. (JB, GK, MDB, JW)
Conformal block, maybe Beauville?
Higgs bundles.
"Intersection Theory" - book by William Fulton.
Book of Jerzy Weyman "Cohomology of vector bundles", about a method to find a resolution of the ideal of the closure of an orbit of a group action on projective space. Also homogeneous spaces, homogeneous vector bundles, Bott's theorem, etc.
Book of Erza Miller and Bernd Sturmfels "Combinatorial commutative algebra."
Book of Bernd Sturmfels "Groebner bases and convex polytopes."
Survey article about Calabi-Yaus, Mirror Symmetry etc: "Calabi-Yau Geometries: Algorithms, Databases, and Physics" by Yang-Hui He, arxiv:1308.0186.