**Tuesday, Jan 25,** **3pm ET** (8pm GMT, 9am Wed NZDT)

**Archontia Giannopoulou**, University of Athens

**A Matching Theoretic Flat Wall Theorem**

**Password**: email shaylaredlin ~at~ gmail ~.~ com (The password is the same format as usual, but first instead of last.)

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**Abstract:**

##### One of the key theorems in Graph Minors is the Flat Wall Theorem which asserts the existence of a large wall under certain conditions. In this talk, we discuss about graphs with perfect matchings and their relationship with digraphs. Our main focus is on a matching theoretic analogue of the Flat Wall Theorem for bipartite graphs excluding a fixed matching minor. The tight relationship between structural digraph theory and matching theory that allows us to obtain the aforementioned version of Flat Wall Theorem further allow us to deduce a Flat Wall Theorem for digraphs which substantially differs from a previously established directed variant of this theorem.

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##### Joint work with Sebastian Wiederrecht.