Australian shares were flat on Monday's close as the market reeled on the impact of several geopolitical concerns.

The S&P/ASX 200 Index changed little to close at 8,423.

Political turmoil in France and the fall of Syrian President Bashar al-Assad's regime dampened Wall Street's highs from its US November payrolls report, Reuters said in an article.

The article also said that South Korea's President was under criminal investigation.

"With geopolitical uncertainty high and conflicting signals from hard and soft data, monetary policy remains the only game in town to support economic activity," said Barclays economist Christian Keller.

In domestic news, the median earnings of Australian workers in their main job rose 7.4% year on year to AU$1,396 per week in August, data from the Australian Bureau of Statistics showed.

In a separate filing, the statistics bureau also said that Australia's total approved dwellings rose 4.2% month on month to 15,498 in October, in line with preliminary figures.

In corporate news, Woolworths Group (ASX:WOW) resumed operations at the four distribution centers in Victoria and New South Wales that were impacted by workers' 17-day strike. The company's shares rose almost 1% at market close.

Platinum Asset Management (ASX:PTM) ended discussions with investment manager Regal Partners (ASX:RPL) regarding a potential acquisition following the conclusion of due diligence. Platinum Asset Management's shares tumbled 14% at market close and earlier hit an all-time low, while shares of Regal Partners closed 5% lower.

ANZ Group Holdings (ASX:ANZ) appointed Nuno Matos as Chief Executive Officer, effective July 3, 2025, following the retirement of the current CEO Shayne Elliott. Its shares fell past 4% at market close.