Mihaela Popoviciu Draisma, Mathematical Institute Basel

My talk deals with invariants of binary forms of degree 7. Binary forms are homogeneous polynomials in two variables with complex coefficients. We denote by d. People studied intensively the structure of R in the 19th century, trying to answer the question "Is the ring _{d}R finitely generated over _{d}C for any d ?". David Hilbert answered this question with his two brilliant papers published in 1890 and 1893: "YES". However, until today, people were able to give a system of generators for R only for a few cases: for _{d}2 ≤ d ≤ 8. The case d = 8 was solved in 1967 by Shioda. I will speak in my talk about systems of generators for R.
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