2 problems

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Penkov–Tikhomirov's classification conjecture for vector bundles on ind-Grassmannians
Let the ground field be $\mathbb{C}$ , and let $\mathbf E$ be a vector bundle of rank $r\in\mathbb{Z}_{>0}$ on an ind-Grassmannian $\mathbf X=\displaystyle\lim_\to G(k_m;V^{n_m})$ ,…
Conjectureopengrassmannians ind-varieties vector-bundlesarXiv posted 2 days ago
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Triviality conjecture for finite-rank vector bundles on twisted ind-Grassmannians
A twisted ind-Grassmannian is an ind-variety obtained as a direct limit … where $m\in\mathbf{Z}_{>0}$ and the transition embeddings … have degree greater than one. Triviality conje…
Conjectureopengrassmannians ind-varieties vector-bundlesarXiv posted 2 days ago

Penkov–Tikhomirov's classification conjecture for vector bundles on ind-Grassmannians