Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Residual categories for (co)adjoint Grassmannians in classical types   In our previous paper we suggested a conjecture relating the structure of the
small quantum cohomology ring of a smooth Fano variety to the structure of its
derived category of coherent sheaves. Here we generalize this conjecture, make
it more precise, and support by the examples of (co)adjoint homogeneous
varieties of simple algebraic groups of Dynkin types $A_n$ and $D_n$, i.e.,
flag varieties $Fl(1,n;n+1)$ and isotropic orthogonal Grassmannians $OG(2,2n)$;
in particular we construct on each of those an exceptional collection invariant
with respect to the entire automorphism group. For $OG(2,2n)$ this is the first
exceptional collection proved to be full.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph