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lfcs-interest - [LFCS seminar] Today, 14 Oct: Bruno Cavalar, University of Oxford: Monotone circuit complexity of matching

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  • From: Ohad Kammar <ohad.kammar@ed.ac.uk>
  • To: "inf-seminars@mlist.is.ed.ac.uk " <inf-seminars@mlist.is.ed.ac.uk>, "LFCS Interest" <lfcs-interest@mlist.is.ed.ac.uk>
  • Cc: Bruno Pasqualotto Cavalar <brunocavalar@gmail.com>
  • Subject: [LFCS seminar] Today, 14 Oct: Bruno Cavalar, University of Oxford: Monotone circuit complexity of matching
  • Date: Tue, 14 Oct 2025 06:00:00 +0000

Hi,

We'll have an LFCS seminar today:

  Tuesday, 14 Oct, 4.10pm
  Bruno Cavalar, University of Oxford

  The seminar will take place in-person only.


We're synchronising the seminar time with the teaching timetable, and
plan to start the talk at the advertised time, so please arrive a minute or two
earlier.


In detail:

----------------------------------------------------------------------
Bruno Cavalar, University of Oxford
https://brunopc.github.io/

  Tue, 14 Oct, 4.10pm
  Venue: IF G.03

Title: Monotone circuit complexity of matching

Abstract

We show that the perfect matching function on $n$-vertex graphs
requires monotone circuits of size $2^{n^{\Omega(1)}}$. This
improves on the $n^{\Omega(\log n)}$ lower bound of Razborov (1985).
Our proof uses the standard approximation method together with a new
sunflower lemma for matchings.


----------------------------------------------------------------------

Upcoming seminars:
------------------
21 Oct: Xinyuan Zhang, Nanjing University: Sampling and Counting via Coupling
        Independence

28 Oct: Patrick Totzke, University of Liverpool: Optimally Controlling a Random
        Population

If you would like to propose a speaker, or speak yourself, please contact me.
The seminar webpages:
http://web.inf.ed.ac.uk/lfcs/events/lfcs-seminars

Yours,
Ohad.

The University of Edinburgh is a charitable body, registered in Scotland, with registration number SC005336. Is e buidheann carthannais a th’ ann an Oilthigh Dhùn Èideann, clàraichte an Alba, àireamh clàraidh SC005336.

  • [LFCS seminar] Today, 14 Oct: Bruno Cavalar, University of Oxford: Monotone circuit complexity of matching, Ohad Kammar, 10/14/2025

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