Today's podcast focusses on Brexit and the Sinn Fein party's fortunes.

London Editor Denis Staunton explains why UK Prime Minister Theresa May is unlikely to lose a confidence vote called by her own backbenchers and what the process means for Brexit, for The Tories and parliamentary politics in Britain.

Sinn Féin's finance spokesperson Pearse Doherty is here to discuss his party's showing in the presidential election, the loss of TDs Peadar Tóibín and Carol Nolan over the abortion issue and why Fine Gael's budget arithmetic is "batsh*t crazy".

With Hugh to appraise all this week's political news (including high drama in Westminster, the personalised abortion legislation debate, Peadar Tóibín's new political movement and the Fiscal Advisory Council's reprimand of the Government's budgetary policies) are UCC political scientist Dr Theresa Reidy and Pat Leahy and Jennifer Bray from our politics team.

"Putin and his regime are going to become more hostile, malicious and deadly to the rest fo the world, and we need to understand this".

Since the murder in Russia of his lawyer Sergei Magnitsky, Bill Browder has been on a mission to highlight and punish corruption and crime in that country and beyond. He is in Dublin this week to push for the introduction here of a law to mirror the US Magnitsky Act that penalises Russian officials by targeting their assets. He talks to Hugh about Vladimir Putin, the Russian regime and the decade-long campaign that he believes has placed his life at real risk.

As we wait for UK parliament to vote on Theresa May's deal, Hugh talks to two people with thought-provoking and divergent ideas about what brought about Brexit in the first place: Irish Times columnist Fintan O'Toole and Professor Helen Thompson of Cambridge University. The conversation touches on everything from the Norman invasion to the nature of the EU single market, and even a fictional EU prohibition on prawn cocktail-flavour crisps.

Concerns are growing that the Government’s proposed abortion legislation will not pass through the Oireachtas in time for its planned introduction date in January. Was Minister Simon Harris naive in setting the deadline? Irish Times politics team new recruit Jennifer Bray joins old timers Hugh, Pat and Harry to talk about this and other matters including Brexit, Leo's tax cuts promise, and the national broadband scheme.

On the floor at the Fine Gael National Conference, the Inside Politics team interviews Tanaiste Simon Coveney about Brexit, what happens if the deal is not approved by UK parliamentarians and the role of the DUP.

Plus: A major policy announcement has been made by Taoiseach Leo Varadkar in his speech: a pledge to raise the threshold for the higher rate of income tax from €35,000 to €50,000 over five budgets. Huge if true. But is it wise? Fiach Kelly and Pat Leahy analyse the news.

With a Brexit deal agreed between Britain and the EU, now all eyes turn to Westminster. Will Prime Minister Theresa May be able to bounce her cabinet, the Commons and the EU into a deal that nobody likes and many despise? And ultimately could the markets scare the Commons into accepting anything to avoid No Deal? Meanwhile in Dublin, all focus is on whether the wording of the border backstop will be sufficiently resistant to 'interpretation' down the line.

Plus: Confidence and Supply negotiations continue in Brexit's shadow, and Fianna Fáil's forever delayed move into Northern Irish politics.

Today's guests: Fianna Fáil TD & Brexit spokesperson Lisa Chambers, our own Pat Leahy and Denis Staunton in London.

Author Michael Lewis (Moneyball, The Big Short, The Undoing Project)talks to Hugh about his new book 'The Fifth Risk'. The book concerns the Trump Administration and what Lewis says are astounding levels of cronyism and corruption in the appointments it has made in key government organisations with responsibility for everything from nuclear weapons to weather forecasting.

New Yorker staff writer Patrick Radden Keefe has written a book about the killing of mother-of-ten Jean McConville by the IRA in 1972. As well as uncovering new facts about the circumstances around McConville's killing, and making a new allegation about the identities of those who killed her, the book is a valuable outsider's view of the enduring legacy of The Troubles and the roles of republican leaders like Gerry Adams.

On today's podcast Patrick Redden Keefe talks to Public Affairs Editor Simon Carswell.

"Say Nothing: a true story of murder and memory in Northern Ireland" is out now.

First: Washington Correspondent Suzanne Lynch on a night of mixed results for both parties and President Trump in the US Midterms. What message will Democratic Party take from this when selecting a presidential challenger to Donald Trump for 2020?

Then: economist and Irish Times columnist David McWilliams joins Hugh and Fiach to talk about his new book Renaissance Nation, the success of political centrism in Ireland, what divides the generations and how the property problem ("the primacy of feudalism over creativity") threatens to undo our hard-won progress.