Beyond Steenrod: A unified approach via Eulerian sequences

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Prasit Bhattacharya, New Mexico State University

Online Talk

While Steenrod operations are fundamental to ordinary cohomology, their counterparts in extraordinary theories are often difficult to define and compute. In this talk, I will present the theory of Eulerian sequences as a powerful tool address this issue. We show that $R$-Eulerian sequences effectively classify stable $R$-cohomology operations, offering a systematic way to recover their structural properties. This framework yields new, computationally tractable Steenrod-like operations for a variety of extraordinary cohomology theories, including applications in the equivariant setting.